UNIDAD III 

RESOLUCION DE TRIANGULOS RECTANGULOS

APLICACIÓN DE LA TRIGONOMETRIA

Blog

UNIDAD II

AREAS  Y PERIMETROS 

Área del triángulo

dibujo

fórmulas

Hallar el área y el perímetro del siguiente triángulo:

dibujo

P = 2 · 11 + 7.5 = 29.5 cm

fórmulas

 

Cuadrado

dibujo

fórmulas

fórmulas

Ejemplo

Calcular el área y el perímetro de un cuadrado de 5 cm de lado.

cuadrado

A = 52 = 25 cm2

Rectángulo

dibujo

fórmulas

fórmulas

Ejemplo

Calcular el área y el perímetro de un rectángulo de 10 cm de base y 6 cm de altura.

rectángulo

P = 2 · (10 + 6) = 32 cm

A = 10 · 6 = 60 cm2

Rombo

dibujo

fórmulas

fórmulas

Ejemplo

Calcular el área y el perímetro de un rombo cuyas diagonales miden 30 y 16 cm, y su lado mide 17 cm.

dibujo

P = 4 · 17 = 68 cm

fórmulas

Área del romboide

dibujo

P = 2 · (a + b)

A = b · h

Ejemplo

Calcular el área y el perímetro de un romboide de 4 y 4.5 cm de lados y 4 cm de altura.

dibujo

P = 2 · (4.5 + 4) = 17 cm

A = 4 · 4 = 16 cm2

Área del trapecio

dibujo

fórmulas

Ejemplo

Calcular el área y el perímetro del siguiente trapecio:

dibujo

fórmulas

Área de un polígono regular

dibujo

fórmulas

n es el número de lados

fórmulas

Ejemplos

Calcular el área y el perímetro de un pentágono regular de 6 cm de lado.

pentágono regular

solución

solución

P = 5 · 6 = 30 cm

solución

Calcular el área y el perímetro de un hexágono regular inscrito en una circunferencia de 4 cm de radio.

dibujo

solución

solución

P = 6 · 4 = 24 cm

 

Perímetro de un círculo

Una circunferencia es el perímetro de un círculo.

radio y diametro de la circunferencia

La longitud de una circunferencia es igual a por el radio.

fórmula

La longitud de una circunferencia es igual a π por el diámetro.

longitud de una circunferencia


 

Ejercicio

Calcular la longitud de una rueda de 90 cm de diámetro.

dibujo

1º A partir del diámetro

fórmula

2º A partir del radio

fórmula

fórmula

AREAS  Y VOLUMNENES   DE LOS CUERPOS SOLIDOS

 

 

Calcula el área lateral, total y el volumen de una pirámide cuadrangular de 10 cm de arista básica y 12 cm de altura.

pirámide cuadrangularapotema lateral de la pirámide

apotema lateral de la pirámide

perímetro

área lateral de la pirámide

área de la pirámide

volumen de la pirámide

Calcula la cantidad de hojalata que se necesitará para hacer 10 botes de forma cilíndrica de 10 cm de diámetro y 20 cm de altura.

dibujo


 

solución

solución


Calcular el área del círculo resultante de cortar una esfera de 35 cm de radio mediante un plano cuya distancia al centro de la esfera es de 21 cm.

radio de una esfera


radio de una esfera

radio de una esfera

 

Calcular el área del círculo resultante de cortar una esfera de 35 cm de radio mediante un plano cuya distancia al centro de la esfera es de 21 cm.

radio de una esfera


radio de una esfera

radio de una esfera

Calcula el volumen, en centímetros cúbicos, de una habitación que tiene 5 m de largo, 40 dm de ancho y 2500 mm de alto.

dibujo


 

solución

solución

solución

solución

 

 

Leer más

COMENTARIOS FINALES

hamester porno

[b]Here girls want to get acquainted! / [url=https://datingsites.site/]Go to the site[/url], register and look for a girl for sex.[/b]


[URL=https://picturelol.com/3lw24y2nnjoq/photo_2019-06-15_15-13-37.jpg][IMG]https://img250.picturelol.com/th/34981/3lw24y2nnjoq.jpg[/IMG][/URL] [URL=https://picturelol.com/g9u4hbjf6j2o/photo_2019-06-15_15-50-08.jpg][IMG]https://img250.picturelol.com/th/34981/g9u4hbjf6j2o.jpg[/IMG][/URL] [URL=https://picturelol.com/hha0m8hpef23/photo_2019-06-15_16-14-08.jpg][IMG]https://img250.picturelol.com/th/34981/hha0m8hpef23.jpg[/IMG][/URL]
[URL=https://picturelol.com/ivitw0a7kd9y/photo_2019-06-27_19-42-56.jpg][IMG]https://img250.picturelol.com/th/34981/ivitw0a7kd9y.jpg[/IMG][/URL] [URL=https://picturelol.com/aeds42o4hkih/photo_2019-06-27_23-58-34.jpg][IMG]https://img250.picturelol.com/th/34981/aeds42o4hkih.jpg[/IMG][/URL] [URL=https://picturelol.com/kux25yr483kh/photo_2019-06-28_00-51-53.jpg][IMG]https://img250.picturelol.com/th/34981/kux25yr483kh.jpg[/IMG][/URL]
[URL=https://picturelol.com/y7qsac7nn04b/photo_2019-05-22_20-46-11.jpg][IMG]https://img250.picturelol.com/th/34981/y7qsac7nn04b.jpg[/IMG][/URL] [URL=https://picturelol.com/h52xd1l159cg/photo_2019-05-23_02-46-14.jpg][IMG]https://img250.picturelol.com/th/34981/h52xd1l159cg.jpg[/IMG][/URL] [URL=https://picturelol.com/exxvnvkqm76w/photo_2019-05-23_12-46-06.jpg][IMG]https://img250.picturelol.com/th/34981/exxvnvkqm76w.jpg[/IMG][/URL]
[URL=https://picturelol.com/zv0hwscegt4a/photo_2019-07-17_03-14-23.jpg][IMG]https://img250.picturelol.com/th/34981/zv0hwscegt4a.jpg[/IMG][/URL] [URL=https://picturelol.com/vzu55jvk777x/photo_2019-07-17_03-14-48.jpg][IMG]https://img250.picturelol.com/th/34981/vzu55jvk777x.jpg[/IMG][/URL] [URL=https://picturelol.com/862nqh96lywq/photo_2019-07-17_03-48-11.jpg][IMG]https://img250.picturelol.com/th/34981/862nqh96lywq.jpg[/IMG][/URL]
[URL=https://picturelol.com/y2gs8l6ofhc2/photo_2019-07-01_23-18-39.jpg][IMG]https://img250.picturelol.com/th/34981/y2gs8l6ofhc2.jpg[/IMG][/URL] [URL=https://picturelol.com/j4ehnaegpe60/photo_2019-07-02_00-25-05.jpg][IMG]https://img250.picturelol.com/th/34981/j4ehnaegpe60.jpg[/IMG][/URL] [URL=https://picturelol.com/ttyt68thdvfu/photo_2019-07-02_00-25-33.jpg][IMG]https://img250.picturelol.com/th/34981/ttyt68thdvfu.jpg[/IMG][/URL]


#best_girls_good#

stekt ris med Г¤gg thai tastyandinteresting.be


I really like your blog.. very nice colors & theme. Did you make this website yourself or did you hire someone to do it for you? Plz reply as I'm looking to construct my own blog and would like to know where u got this from. thanks tastyandinteresting.be/beautiful-things/stekt-ris-med-aegg-thai.php stekt ris med Г¤gg thai

badpak voor oudere dames aretenb.se


Fastidious replies in return of this matter with firm arguments and describing the whole thing regarding that. haude.aretenb.se/for-men/badpak-voor-oudere-dames.php badpak voor oudere dames

Get Operating version of GTA 5 Mobile for your Android and iOS

<p>Well, you have got to begin making preparations. This is the only way to enjoy your own GTA 5 Android app. Here are some pointers if you're up to the challenge.</p>

<a href="https://gumroad.com/gta5mobile29/p/get-gta-5-mobile-download-today-free">gta 5 mobile</a>
<a href="https://gumroad.com/products/iwIOs">gta v apk</a>
<a href="https://www.teamapp.com/clubs/533894">gta 5 apk</a>

<p>You can't let anybody come in and mess with your game. In fact, you may want to do a little research to see which versions are the most. In this case, when it comes to getting your hands on these devices that are illegal, you need to be picky.</p>

<a href="https://www.indiehackers.com/product/gta-5-mobile">gta 5 apk</a>
<a href="https://hackerone.com/gta5mobile">gta v android</a>
<a href="https://marketplace.visualstudio.com/publishers/gta5mobile">gta v android download</a>

<p>Prior to downloading a game, make sure that it's not legal, but first. If it's a copy, it might not run as well as the first. Of course, it is going to run fine if it's a full version of the game. Pirated versions have hidden glitches and bugs.</p>

<a href="https://www.notion.so/Grab-GTA-5-Mobile-for-Android-and-iOS-for-FREE-e3a09dabbe9046e5a95537988484793a">apk gta 5</a>
<a href="https://www.nvidia.com/en-us/geforce/forums/fortnite/31/371861/grab-gta-5-mobile-for-android-and-ios-for-free/">gta v android download</a>
<a href="https://www.mathworks.com/matlabcentral/profile/authors/18251141-grab-gta-5-mobile-for-android-and-ios-for-free">gta 5 apk</a>

<p>Look. There is no reason why you can not locate games for GTA 5 for free. Many sites provide flash games for free download.</p><p>Don't be afraid to try cellular versions. Nobody can tell you that you do not have a choice. Many people can not play with it in their phone, however it is likely to do so through an Android app.</p>

<a href="https://publons.com/researcher/3573063/grab-gta-5-mobile-for-android-and-ios-for-free/">apk gta 5</a>
<a href="https://start.me/p/jjJOwM/grab-gta-5-mobile-for-android-and-ios-for-free">gta v android</a>
<a href="https://payhip.com/b/LR2i">gta v android</a>

<p>Be conscious of security problems with a edition that is cellular. You need to search for websites that are not affiliated with the producers, While hunting for a site offering free programs. Also, be certain that the iPhone or iPad edition of the game is not listed.</p><p>Play games which can be downloaded for free. All these are the best options as you know that somebody who isn't currently trying to sell something does the game. The disadvantage is that you wo pleasure.</p><p>Go to get a paid version of the Android version of this game. This may be a excellent way to add information, have access to much better images, and unique components. Keep in mind that there's a small fee for the app.</p>

<a href="https://clyp.it/user/szabd3pc">gta v apk</a>

<p>Make certain that you have a big enough phone. Possessing a phone that is little might be great for some games, but it is not actually true for GTA 5. You might be able to acquire improved graphics if you have a phone which has plenty of memory.</p><p>Turn on Wi-Fi, if you're going to be enjoying with the sport. The game is offered by many sites for free, as stated previously. It's worth paying a small fee to get the full experience.</p><p>Save your game. The game might not work properly on Should you leave it. You don't want to lose your progress. You also want to be certain that you have the latest upgrade.</p><p>You should be able to enjoy the game, In case you have all of these tips. You are still able to enjoy it and use the tips, if you already have the game. Obviously, utilizing the tips will assist in preventing problems.</p>

skicka falgar billigt aretenb.se


It's really a great and useful piece of info. I'm glad that you simply shared this helpful information with us. Please keep us up to date like this. Thank you for sharing. naise.aretenb.se/skin-care/skicka-faelgar-billigt.php skicka falgar billigt

liquid aminos sverige tastyandinteresting.be


Hello to every body, it's my first pay a visit of this blog; this blog contains awesome and truly excellent stuff for readers. tastyandinteresting.be/for-men/liquid-aminos-sverige.php liquid aminos sverige

CAGLIOTANK

USE
Multi-purpose tank ideal for the production of more than 30 different types of cheese; it is supplied with a complete and autonomous system suitable for mini-factories.

FEATURES
Cagliotank is an insulated and jacketed container for heating, cooling, pasteurizing and mixing

USE
Multi-purpose tank ideal for the production of more than 30 different types of cheese; it is supplied with a complete and autonomous system suitable for mini-factories.
Pasteurization
Mixing


FEATURES
Cagliotank is an insulated and jacketed container for heating, cooling, pasteurizing and mixing

https://bit.ly/3b7LYWx

best skincare products for aging skin tastyandinteresting.be


Actually when someone doesn't be aware of afterward its up to other viewers that they will assist, so here it occurs. tastyandinteresting.be/for-men/best-skincare-products-for-aging-skin.php best skincare products for aging skin

coola sunscreen review aretenb.se


I enjoy what you guys tend to be up too. This kind of clever work and coverage! Keep up the wonderful works guys I've incorporated you guys to our blogroll. bita.aretenb.se/beauty/coola-sunscreen-review.php coola sunscreen review

fransk manikyr steg for steg aresgrb.se


Quality posts is the crucial to interest the users to pay a visit the website, that's what this web site is providing. comco.aresgrb.se/advice-girlfriends/fransk-manikyr-steg-foer-steg.php fransk manikyr steg for steg