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The hypotenuse of an isosceles triangles measures 10 inches long. What is the length of one leg of the triangle?

User Henhuy
by
7.8k points

2 Answers

5 votes

Answer:

10/2

Explanation:

User Nawfal Serrar
by
7.5k points
4 votes

Answer:

the length of one leg of the triangle is,
5√(2) inches

Explanation:

In the special triangle 45-45-90 right isosceles triangle,

the ratio of sides to the hypotenuse of an isosceles triangle are:


a:a:a√(2)

As per the statement:

The hypotenuse of an isosceles triangles measures 10 inches long.


a√(2) = 10

Divide both sides by
√(2) we have;


a = (10)/(√(2)) = 5√(2)


a= 5√(2) inches

Therefore, the length of one leg of the triangle is,
5√(2) inches

User Scrrr
by
8.3k points

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