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Find the leg of each isosceles right triangle when the hypotenuse is of the given measure.

Given = 8 cm

User Tiko
by
7.6k points

1 Answer

1 vote

Answer:


x=4√(2)\ cm

Explanation:

we know that

An isosceles triangle has two equal sides

Let

x ----> the length of the leg

Applying the Pythagorean Theorem


c^2=a^2+b^2

where

c is the hypotenuse (the greater side)

a and b are the legs of the right triangle

In this problem we have


c=8\ cm


a=b=x\ cm

substitute


8^2=x^2+x^2\\\\64=2x^2\\\\x^2=32\\\\x=√(32)\ cm

simplify


x=4√(2)\ cm

User Haroba
by
8.4k points

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