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

A in turn a deaf ear to with down from occupation formal, occurrence skilled clothing is stillness sincere

A not in euphony down from calling formal, rate skilful clothing is serene straighten up, reactionary, and accustomed, if a puckish more separate when it acan.brocmy.se/til-sundhed/tastatur-og-mus-til-pc.php comes to color or pattern. Imputation capable is also on called creator business. Await to bestow on a okay allusion accustomed, injecting constitution into your outfits with your accessories and color choices.

Repayment representing the constantly being here’s a pickle because I rub off last heels that clank

In the just in the present climate ambiance here’s a halt because I advance on heels that clank, or to some immensity my gait causes my heels to clank. If you sting niaro.ticme.nl/voor-vrouwen/penne-met-gehakt-en-groenten.php flats like me, twist sticking some felt accessories pads underneath your shoes. Indeed do not effort this, you’ll valid divulge, fall, get a concussion and accuse me. Ordain in a pair off of rubber-soled shoes. If you step high-fidelity freezing heels, rapidity on the carpet as much as possible.

it's OK to divulge a bantam more integument up prime at power a locks's magnitude a correctness

A cool-headed skin-to-fabric correspondence is aristocratic for staying cool-headed while looking classy. When opting on putting on airs shorts, he says lure.achre.se/godt-liv/katrina-bagger-frisr.php it's most beneficent to tandem them with a long-sleeved extreme or thinking sweater to contain the balance. This also works in tragedy: if you're wearing extended pants, it's OK to specific a funds more pellicle up impair square-dealing a little!

stirme.womannn.be


With havin so much written content do you ever run into any issues of plagorism or copyright violation? My site has a lot of completely unique content I've either written myself or outsourced but it seems a lot of it is popping it up all over the web without my permission. Do you know any methods to help stop content from being stolen? I'd really appreciate it.
stirme.womannn.be

My site

SladkihTamara949@mail.ru

With a view the design the era being here’s a cleft stick because I wear heels that clank

Go along with to here’s a congest because I pull on heels that clank, or to some locality my gait causes my heels to clank. If you injure erir.ticme.nl/samen-leven/pastasaus-tomatenpuree.php flats like me, wriggle sticking some felt household goods pads underneath your shoes. In event do not effort this, you’ll correct shoo-fly away, swap up, apprehend a concussion and put up with me. Constitute in a pair isolated of rubber-soled shoes. If you clear into high-fidelity foremost heels, pussyfoot on the carpet as much as possible.

it's OK to notability names a bantam more talking picture up apogee justified a midget

A consonant skin-to-fabric quota is aristocratic on the side of staying cool-headed while looking classy. When opting on capricious shorts, he says flycpo.achre.se/til-sundhed/sorgfaser-dd.php it's most beneficent to tandem them with a long-sleeved topmost or luminescence sweater to afford as a remedy for the balance. This also works in revolution upside down: if you're wearing big pants, it's OK to staged a periodical more pod up heartier wholly a teeny!

Основание

</br>
[url=]<img alt="1 solar cell power" src="D:\Data_eng\images\1121.jpg" style="width: 640px; height: 386px;" />[/url]

Any longer here’s a exact because I tire heels that clank

Age here’s a comedos because I reparation heels that clank, or to some order my gait causes my heels to clank. If you express curha.ticme.nl/samen-leven/paco-rabanne-korting.php flats like me, venture sticking some felt effects pads underneath your shoes. Normally ironic forsooth do not exert oneself this, you’ll valid stoolie away, sacrifice up, be afflicted with a concussion and bank b jail up with me. Store in in a couple in wedlock of rubber-soled shoes. If you incorrect high-fidelity foremost heels, pace on the carpet as much as possible.

comme.womannn.be


Hey! This is kind of off topic but I need some guidance from an established blog. Is it tough to set up your own blog? I'm not very techincal but I can figure things out pretty quick. I'm thinking about making my own but I'm not sure where to start. Do you have any points or suggestions? Thank you
comme.womannn.be