Question

What is the length of one leg of the triangle?11 units11/units22 units22/2 units​

Answer 1

Answer:

The length of one leg of the triangle is 22 units

Step-by-step explanation:

The complete question in the attached figure

Let

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

we know that

In the right isosceles triangle of the figure

The cosine of angle of 45 degrees is equal to the adjacent side to angle of 45 degrees divided by the hypotenuse

$cos(45\°)=\frac{x}{22\sqrt{2}}$ ---> equation A

$cos(45\°)=\frac{\sqrt{2}}{2}$ ----> equation B

equate equation A and equation B and solve for x

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

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

therefore

The length of one leg of the triangle is 22 units