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

Answer:

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

Step-by-step 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

Answer:

$5\sqrt{10}\ units$

5 StartRoot 10 EndRoot

Step-by-step 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

$c=10\sqrt{5}\ units$

$a=b=x\ units$

substitute

$(10\sqrt{5})^2=x^2+x^2$

$500=2x^2\\x^2=250\\x=\sqrt{250}\ units$

Simplify

$x=5\sqrt{10}\ units$

5 StartRoot 10 EndRoot