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Halla la Hipotenusa - Trigonometría

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Halla la Hipotenusa - Trigonometría

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Quiz sobre hallar la hipotenusa

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maria fernanda varela saenz
maria fernanda varela saenz
Colombia

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Halla la Hipotenusa - Trigonometría
 

Halla la Hipotenusa - TrigonometríaOnline version

Quiz sobre hallar la hipotenusa

by maria fernanda varela saenz
1

En un triángulo rectángulo, un cateto adyacente mide 4 y el ángulo agudo es 45°. ¿Cuál es la hipotenusa?

2

Un cateto adyacente vale 5 y el ángulo agudo es 53.13°. ¿Hipotenusa?

3

Cateto adyacente 6 y ángulo 30°. ¿Hipotenusa?

4

Cateto adyacente 9 y ángulo 60°. ¿Hipotenusa?

5

Cateto adyacente 8 y ángulo 37°. ¿Hipotenusa?

6

Cateto adyacente 10 y ángulo 15°. ¿Hipotenusa?

7

Cateto adyacente 12 y ángulo 53°. ¿Hipotenusa?

8

Cateto adyacente 7 y ángulo 50°. ¿Hipotenusa?

9

Cateto adyacente 3 y ángulo 20°. ¿Hipotenusa?

10

Cateto adyacente 11 y ángulo 33°. ¿Hipotenusa?

Explicación

La hipotenusa se halla dividiendo el cateto entre el coseno de 45°. 4/cos45 ≈ 5.66. Las otras opciones no coinciden con este cálculo.

h = 5 / cos53.13° ≈ 5/0.6 = 8.33. Las demás distorsionan el cociente de coseno.

h = 6 / cos30° ≈ 6/0.8660 ≈ 6.93. Cos30° ≈ 0.866.

h = 9 / cos60° = 9/0.5 = 18.0. Otras opciones son erróneas.

h ≈ 8 / cos37° ≈ 8/0.7986 ≈ 10.02. Incluye redondeo.

h ≈ 10 / cos15° ≈ 10/0.9659 ≈ 10.35. Cos15° cercano a 0.966.

h ≈ 12 / cos53° ≈ 12/0.6018 ≈ 19.95. Distractores se distorsionan el cociente.

h ≈ 7 / cos50° ≈ 7/0.6428 ≈ 10.89. Otras opciones no reflejan el coseno correcto.

h ≈ 3 / cos20° ≈ 3/0.9397 ≈ 3.19. El resto no coincide con el coseno.

h ≈ 11 / cos33° ≈ 11/0.8387 ≈ 13.12. Distractores no cumplen el cociente correcto.

 
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