UNIDAD III 

RESOLUCION DE TRIANGULOS RECTANGULOS

APLICACIÓN DE LA TRIGONOMETRIA

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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

 

 

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COMENTARIOS FINALES

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Breeches - recognizable horseback riding outfits

Similar to every single discipline of sports activity, horse riding also demands particular clothing. It doesn't mean that without proper gear of the rider, the horse will not canter, however the custom, comfort and ease, appearances carry out a vital purpose in any disciplines. Especially horseback riding, namely a discipline from distant background, has generated certain traits over the years. Breeches are undoubtedly one of these.

Equestrian breeches, level of comfort, and custom
Equestrian breeches are unique horseback riding outfits. Because they do not include seams on the inner side of the leg, namely in the place where the rider’s leg meets the seat, they give comfort and versatility of movements. Such a method of stitching defends your sensitive skin from chafing, enables the rider to properly saddle the horse and ride for a long time without negative consequences. Breeches might be firmer or puffed around the thighs, similar to cavalry breeches.

At the moment, the most common are firmer models of breeches, however, there is still a considerable group individuals preferring the cavalry product, for example saloons or jodhpurs, with straight or just a bit extending legs. The last type became well-liked in the Nineteenth century Great Britain thanks to Jodhpur maharajah playing polo in such outfits.

The things that make breeches exclusive?

Breeches are seen as high waistline and grip - short or long. A grip is an added fortification with a covering of suede, leather or silicone that goes to the knees or along the whole leg. This guarantees far better gluiness, gumminess in the saddle, nonetheless, the model of the breeches would depend on the rider’s personal preferences.

Full grip breeches have got this added strengthening on the inner side of the trousers on the whole length of the place that the rider’s body suits the saddle - with the buttocks to calf muscles. This specific version is specially well-liked by dressage riders, who want to ride at a trot or canter. Because of limited slippage and fine tackiness, gluiness, gumminess, they make it better to stay in the seat.

Knee grip breeches have the strengthening on the inner side of the knees. This particular type is specially well-liked by jumping riders mainly because it guarantees flexibility of movements even at the expense of a lesser grasp. It works at a trot and canter in half-seat.

Components for breeches
In order for breeches to become as sturdy as they possibly can, they should be made of high quality materials. Fabric is picked out for a given season, so it is properly breathable, isolating, quick-dry, and straightforward to clear. The fabric should be somewhat flexible and keep its shape even with lots of laundries.

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