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Desafío: Cálculo de la Hipotenusa

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Desafío: Cálculo de la Hipotenusa

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Problemas de hipotenusa en rectángulos

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jose lopez
jose lopez
Colombia

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Desafío: Cálculo de la Hipotenusa
 

Desafío: Cálculo de la HipotenusaOnline version

Problemas de hipotenusa en rectángulos

by jose lopez
1

En un triángulo rectángulo, catetos 3 cm y 4 cm. ¿cuánto mide la hipotenusa?

2

Triángulo rectángulo, hipotenusa 13 cm y un cateto 5 cm. ¿cuál es el otro cateto?

3

Cateto a=6 cm y hipotenusa c=10 cm. ¿cuánto mide el otro cateto?

4

Catetos 9 cm y 12 cm, ¿hipotenusa?

5

Hipotenusa 25 cm y un cateto 7 cm. ¿cuál es el otro cateto?

6

Cateto a=8 cm y hipotenusa c=17 cm. ¿cuál es el otro cateto?

7

Cateto A=6 cm y otro cateto B=? si hipotenusa c=8 cm

8

Cateto 11 cm y otro cateto 60 cm, ¿hipotenusa?

9

Cateto 12 cm y hipotenusa 20 cm, ¿el otro cateto?

10

Cateto 5 cm y hipotenusa 13 cm, ¿cateto restante?

Explicación

Con 3-4-5 se cumple: c^2 = 3^2+4^2 = 9+16 = 25, c=5.

b = sqrt(13^2 - 5^2) = sqrt(169-25) = sqrt(144) = 12.

b = sqrt(10^2 - 6^2) = sqrt(100-36) = sqrt(64) = 8.

c^2 = 9^2 + 12^2 = 81+144 = 225, c=15.

b = sqrt(25^2 - 7^2) = sqrt(625-49) = sqrt(576) = 24.

b = sqrt(17^2 - 8^2) = sqrt(289-64) = sqrt(225) = 15.

Pitagoras: B = sqrt(8^2 - 6^2) = sqrt(64-36) = sqrt(28) ≈ 5.29 cm.

c = sqrt(11^2 + 60^2) = sqrt(121+3600) = sqrt(3721) = 61.

b = sqrt(20^2 - 12^2) = sqrt(400-144) = sqrt(256) = 16.

b = sqrt(13^2 - 5^2) = sqrt(169-25) = sqrt(144) = 12.

 
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