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

Answer:

The length of one leg is $22\ units$

Step-by-step 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

$sin(45\°)=\frac{\sqrt{2}}{2}$

In this problem

$sin(45\°)=\frac{x}{y}$

we have

$y=22\sqrt{2}\ units$

substitute and solve for x

$\frac{\sqrt{2}}{2}=\frac{x}{22\sqrt{2}}$

$x=22\sqrt{2}(\frac{\sqrt{2}}{2})=22\ units$