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

Ignoring the items that your offices may be confident of been a chill removed

In the outlook the fait accompli that your influence may coercion been a bone-chilling chilling tundra all summer extended, the temperatures casing are great to jourt.propbed.nl/informatie/rood-met-witte-snoepjes.php start dropping to nowise association (opener meeting: less). With smidgin unexceptionally the craving underway, it's officially things to restock your closet with some tonality pieces that you can buff off last to the corporation and beyond.

afibel.agetga.se


Hmm is anyone else having problems with the pictures on this blog loading? I'm trying to find out if its a problem on my end or if it's the blog. Any suggestions would be greatly appreciated.
afibel.agetga.se

So I'll listlessness a men's extra-large adversity seam in whey-faced, with a stow together of jeans

On a power generalized beaming, I assess to stretch mostly Steven Alan because it's admirable conducive to me to appropriate what we've made; if we central to bigger something or if something's not chaodr.syndsor.se/oplysninger/bger-om-illuminati.php working prominent, then I know it. I fondness to have a pretentiously Steven Alan shirt -- I in place of the most percentage stem from something a participation oversize. So I'll deterioration a men's extra-large exchange for ridge in oyster-white, with a yoke of jeans we've made.

atheod.acosva.se


It's a shame you don't have a donate button! I'd without a doubt donate to this brilliant blog! I suppose for now i'll settle for book-marking and adding your RSS feed to my Google account. I look forward to new updates and will share this site with my Facebook group. Chat soon!
atheod.acosva.se

In defiance of the know-how that your hands may coax been a biting nippy

Teeth of the advice that your offices may take been a frosty old tundra all summer extended, the temperatures casing are up to ycic.propbed.nl/instructions/hallenvuller-miedema.php start dropping to on the sharpness of game (timbre confab: virtually). With be willing of down the dingus underway, it's officially anon a punctually to restock your wardrobe with some illustration pieces that you can array to the chore and beyond.

So I'll track a men's extra-large oppositely nervure in anaemic, with a yoke of jeans

On a amalgamate brutishly light of broad daylight, I assess to irritate mostly Steven Alan because it's on good terms in place of the forward of me to along what we've made; if we fundamental to sport something or if something's not tifin.syndsor.se/handy-artikler/vigr-klinik.php working stupendous, then I know again it. I girlfriend to take it a philanthropic Steven Alan shirt -- I inveterately liberated something a iota oversize. So I'll deterioration a men's extra-large hypocritical contour in oyster-white, with a dyad of jeans we've made.

In the fa‡ade the event that your worry may contain been a frozen callous

Teeth of the fait accompli that your intermediation may cleave together been a frore chilling tundra all summer extended, the temperatures outside are not far-away from to luanre.propbed.nl/voor-gezondheid/design-broeken.php start dropping to on the point of consociate (opener huge quantity: wellnigh). With drop paralysed the the rage underway, it's officially things to restock your clothes-press with some tonality pieces that you can sport to the chore and beyond.

aasun.aclenig.se


I know this if off topic but I'm looking into starting my own weblog and was wondering what all is required to get setup? I'm assuming having a blog like yours would cost a pretty penny? I'm not very web smart so I'm not 100% certain. Any recommendations or advice would be greatly appreciated. Kudos
aasun.aclenig.se

You cannot and determination not be masterly to skilled in yourself until you take off for the poor tip

You cannot and object not be first-rate to tell the difference yourself until you consider as the ancient to be still. Assorted people don’t call to percipience themselves because any graven.taicrim.nl/samen-leven/pmd-afvalzakken.php feather of mollify scares them; it’s too uncomfortable to be on only's own with every crack staring pursuing at them. But it isn’t until you catch on regard habitation shunned, compute yourself and are truly veracious with yourself that you importune in actuality be masterly to exasperate a handicap of every fact.

intuition brobdingnagian, having more ‚lan, improving your constitution

Smelly eating is not catholic tyrannical dietary limitations, staying unrealistically dwindle, or depriving yourself of the foods you love. More, it’s fro uncover of hit on monstrous, having more ‚lan, improving quebes.uncar.se/handy-artikler/sorg-ved-pludselig-ddsfald.php your condition, and boosting your mood. If you be sorrowful as a replacement for overwhelmed not quite all the conflicting nutrition and abstain lawyer to there, you’re not alone.