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Apply the 45º-45º-90º Triangle Theorem to find the length of a leg of a right triangle if the length of the hypotenuse is 7 cm.

A. √7 cm
B. 5 cm
C. 7√2 cm
D. 2√7 cm

Respuesta :

Answer:

leg = 5 cm

Step-by-step explanation:

In a 45°-45°-90° triangle, the hypotenuse = leg square root of 2

The leg = (hypotenuse)/2 · square root of 2.

Given the hypotenuse = 7 , find the leg

[tex]leg = \frac{hypot.}{2} (\sqrt{2} )[/tex]

[tex]leg = \frac{7}{2} (\sqrt{2} )[/tex]

[tex]leg = 4.9497[/tex]

[tex]leg = 5 cm[/tex]