Question

The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a length of 10 StartRoot 5 EndRoot and the lengths of the other 2 sides are congruent. What is the length of one leg of the triangle? 5 StartRoot 5 EndRoot 5 StartRoot 10 EndRoot 10 StartRoot 5 EndRoot 10 StartRoot 10 EndRoot

Answer 1

if thats not part of your answer guys here i got you

12 StartRoot 2 EndRoot in. meaning B

if u have the number with 24

Explanation:

egd 2020

this is my question the hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?

the answer was B

Answer 2

`5√(10)\ units`

5 StartRoot 10 EndRoot

Explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

x ----> the length of one leg of the triangle

Applying the Pythagorean Theorem

`c^2=a^2+b^2`

where

c is the hypotenuse

a and b are the legs

we have

`c=10√(5)\ units`

`a=b=x\ units`

substitute

`(10√(5))^2=x^2+x^2`

`500=2x^2\\x^2=250\\x=√(250)\ units`

Simplify

`x=5√(10)\ units`

5 StartRoot 10 EndRoot