Question

Find the value of X and Y that make these triangles congruent by the HL theorem.

Answer 1

x=5, y=6

Explanation:

By the HL theorem, if the corresponding hypotenuses and one side of two triangles are equal, they are congruent.

So put the hypotenuses equal to each other, and put the side lengths equal to each other.

3x-2=2y+1

x=y-1

Sub 'y-1' into the first equation for x:

3(y-1)-2=2y+1

3y-3-2=2y+1

y=6

x=y-1=6-1=5