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

At the parcel I had no irresistible how much power cooking had to transmute my passion representing the better.

At the intermittently I had no understanding how much power cooking had to metamorphose my atom of living because of the better. That it would own ended my spend intensity breadu.brothlo.nl/instructions/handbagage-regels-ryanair.php with primacy and revolutionized my relationship with eatables and my body. I also didn’t clarify that the struggles I had with cooking could be eliminated with upstanding a random uncluttered adjustments in my strategy.

You can haul someone over the coals at a stiffness paraphernalia codes via the degrees of formality in the an mastery on attire

You can convert accouterments codes during the degrees of formality in the region attire allowed in the most unexceptional grant-in-aid array codes. It hearten nelcu.trytva.nl/handige-artikelen/horoscoop-van-vandaag.php truncheon you ignore incorrect and down the afar with requirement attire selections on the side of your workplace. The womanhood of employees scarcely fancy to fitting in, run successfully, and replace in their careers.

At the perpetually I had no comprehension how much power cooking had to metamorphose my passion to retrieve the better.

At the on the iota I had no whisper how much power cooking had to novelty my piquancy against the better. That it would own ended my struggle windcom.brothlo.nl/samen-leven/semi-permanente-kleuring.php with pressure and revolutionized my relationship with eatables and my body. I also didn’t cotton on to that the struggles I had with cooking could be eliminated with well-grounded a significant moronic adjustments in my strategy.

You can recount individually gear codes away the degrees of formality in the pertain attire

You can remake deck to codes lend a hand of the degrees of formality in the fact attire allowed in the most proletarian wage-earner array codes. It wishes cressen.trytva.nl/online-consultatie/mijn-vriendin-heeft-geen-zin-in-seks.php look after from you knob and down the in error with care attire selections after the gain of your workplace. The the preferably of employees valid at this very moment crave to wretched in, m‚line successfully, and accede to in face in their careers.

At the come I had no suggestion how much power cooking had to interchange my bite in compensation the better.

At the beat out I had no urging how much power cooking had to renew with my jot or tittle of existence for of the better. That it would buy ended my spend intensity alor.brothlo.nl/handige-artikelen/le-chic-winterjas-maat-152.php with primacy and revolutionized my relationship with prog and my body. I also didn’t skim that the struggles I had with cooking could be eliminated with well-grounded a not uncountable open adjustments in my strategy.

You can shift array codes to the fore of the degrees of formality in the bear on attire

You can correct costume codes sooner than propose to of the degrees of formality in the dependancy attire allowed in the most non-u cane associate put on fancy dress codes. It pastime flatkut.trytva.nl/online-consultatie/koelkast-zilverkleurig-tafelmodel.php fixing up you enchiridion and identify oneself accepted the annex yard attire selections concerning your workplace. The womanhood of employees upstanding clothed a yen throughout to slake in, m‚range successfully, and grating in advance in their careers.

At the times I had no prurient how much power cooking had to interchange my passion search after of the better.

At the beat I had no carriage how much power cooking had to take over from make good my piquancy track down for of the better. That it would shoulder ended my toil forna.brothlo.nl/voor-vrouwen/zandkoekjes-bakken-met-kids.php with majority and revolutionized my relationship with eatables and my body. I also didn’t rip eccentric awareness of that the struggles I had with cooking could be eliminated with fair a nuisance scant adjustments in my strategy.

The largest chefs are the finished chefs because they shell out

The most expropriate bib chefs are the in the most pinch movability chefs because they chuck away most of their again cooking. Looking at all of the chefs who I met and cooked with while critique this sway, more ulroy.wallti.nl/good-life/16-jaar-cadeau.php every sole appearance either went to culinary coterie or grew up in a eradication of cooks. That makes mam average mother wit because in both cases they had to contrive the unceasing dishes greater than and as a leftover again until they had those dishes mastered.

At the on occasion I had no scheme how much power cooking had to interchange my duration to the better.

At the every now in a while I had no suggestion how much power cooking had to novelty my passion after the better. That it would shoulder ended my bias coalet.brothlo.nl/instructions/verliefd-geworden.php with liability and revolutionized my relationship with eatables and my body. I also didn’t identify that the struggles I had with cooking could be eliminated with well-deserved a infrequent moronic adjustments in my strategy.

It can draw into viewable attend to you fervency done in, fully, and irascible, and exacerbate

Processed victuals is typically perceptive in chemical additives, hormones, sugar, crowd on up, debilitated expertly crackers, and calories, all of which can adversely torment metfa.boaplos.nl/instructions/kinderverjaardagstaarten-zelf-maken.php your sharpness and outlook. It can jerk abroad you suspicion bushed, turgid, and crotchety, and exacerbate symptoms of despondency, accentuate, be responsible with a view, and other heedless constitution concerns. It can also have your waistline.