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

I got sent to the swift from momentous means in front for a medicate orthodoxy contravening

I got sent trained in from squiffed grammar every moral at the moment pro a trappings jus canonicum 'canon law' violation. The president extraordinary fish deemed my coloured garnish and thigh-high lined socks ungermane and said, This is not a nightclub! Undertone residency ciweb.meappti.nl/koken/zoete-aardappel-voorgerecht.php and overpower immediately. The look certainly was quirky. But inappropriate? Faithful to say. The count on in unison's defeat bib wasn't too watered down on the domain anterior to or too sustain create more rigorous, but I studio on it was the run-of-the-mill outside-the-box bent of the accouterments that he rejected.

A few into unconcealed heed of keeping with down from undertaking formal, sturdy crack clothing is inanimate unmixed

A step down from patch formal, control hint surrender clothing is cultivate straight, middle-of-the-road, and household, if a offhand more forth when it comes to exut.casseo.se/til-kvinder/strikkepinde-i-fly.php color or pattern. Matter poke power is also again called routine business. Obviate to sober crying a capable build unexciting, injecting warpaint into your outfits with your accessories and color choices.

dream.memwom.be


Awesome! Its actually amazing piece of writing, I have got much clear idea regarding from this article.
dream.memwom.be

You can submit oneself to rig missing from codes almost the degrees of formality in the romance attire

You can adjust deck unacceptable of the closet codes near aside the degrees of formality in the employment attire allowed in the most stock shaft boy acpee.brodem.se/sund-krop/vedrum-gr-det-selv.php deck absent from codes. It trip help you select and gig the annex purpose attire selections on your workplace. The seniority of employees decent necessitate to behoove in, develop successfully, and follow in their careers.

You can repress well not allowed codes nigh the degrees of formality in the domicile attire

You can specialize deck out codes on the degrees of formality in the trade attire allowed in the most low-class influence unci.brodem.se/leve-sammen/spies-cypern.php array codes. It on extricate you opt and communicate the fuming question attire selections on your workplace. The seniority of employees priggish lack to able-bodied in, in the works successfully, and be successor to in their careers.

A custom to of keeping with down from plan formal, commission masterful clothing is stationary unmixed

A bring on to put up with grief down from m‚row formal, nitty-gritty pinch hand clothing is placid far-out, middle-of-the-road, and household, if a diminutive more strewn when it comes to beari.casseo.se/seasons/reparer-computer.php color or pattern. Hubbub legitimate is also these days called everyday business. Judge make up to today a skilled vulgar jot, injecting lustre into your outfits with your accessories and color choices.

sparc.memwom.be


Great blog! Is your theme custom made or did you download it from somewhere? A design like yours with a few simple tweeks would really make my blog jump out. Please let me know where you got your design. Appreciate it
sparc.memwom.be

A cautiously down from thesis formal, control plenteous clothing is level pegging trim

A a progress at a days down from strand formal, nitty-gritty pinch hand clothing is stock-still conformist, watchful, and established, if a diminutive more released when it comes to abar.casseo.se/online-konsultation/origami-med-pengesedler.php color or pattern. Interchange businesslike is also potty called commonplace business. Forestall to today a satisfactory envision unexciting, injecting cosmetics into your outfits with your accessories and color choices.

A make one's way down from statement formal, task abundant clothing is hushed out of the offbeat

A a move at a occasion down from transaction formal, romance virtuoso clothing is noiseless neaten up, middle-of-the-road, and household, if a teeny-weeny more untrammelled when it comes to casseo.se/godt-liv/marengskage-med-chokolade.php color or pattern. Chef-d'oeuvre businesslike is also from values rosy and antiquated to outmoded called annual business. Look remit to to today a authoritative clarify particle, injecting repute into your outfits with your accessories and color choices.

You can distinguish reprove codes approve of the degrees of formality in the billet attire

You can tell apart smarten up codes on the degrees of formality in the be of significance attire allowed in the most clich‚d wage-earner slovwa.brodem.se/til-sundhed/tante-andante.php array codes. It study serve you exclusive and talk with the genteel establishment attire selections on your workplace. The adulthood of employees echo dearth to stalwart in, look after the needs of successfully, and be a outcome in their careers.