Question

The hypotenuse of a 45-45-90 triangle measures 22 square root2 units. What is the length of one leg of the triangle?

Answer 1

I think the answer for this question is A. 11 Units

Answer 2

The length of one leg is
`22\ units`

Explanation:

we know that

In a
`45\°-45\°-90\°` right triangle the length of the two legs are equal

Let

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

y----> the hypotenuse

Remember that

`sin(45\°)=(√(2))/(2)`

In this problem

`sin(45\°)=(x)/(y)`

we have

`y=22√(2)\ units`

substitute and solve for x

`(√(2))/(2)=(x)/(22√(2))`

`x=22√(2)((√(2))/(2))=22\ units`