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26 votes
26 votes
The hypotenuse in this 45-45-90 triangle is given. How would you find the length of a leg

of the triangle?
8 V2
45degrees

User Daniel Labbe
by
3.0k points

1 Answer

9 votes
9 votes

Answer:

The length of the legs of the triangle is 8 units.

Explanation:

45-45-90 triangle

A 45-45-90 triangle is a special case of a right triangle in which both legs l have the same value and the hypothenuse is h. By the Pythagorean Theorem:


image

Hypothenuse of 8 V2

This means that
image

So


image


image


image


image


image


image

The length of the legs of the triangle is 8 units.

User MorrisIriga
by
2.8k points