Question

For what values of x and y are the triangles to the right congruent by HL

Answer 1

x = 2 , y = 1

Explanation:

For the triangles to be congruent then the hypotenuse and leg must be congruent, that is

x = y + 1 → (1)

4y = x + 2 → (2)

Substitute x = y + 1 into (2)

4y = y + 1 + 2

4y = y + 3 ( subtract y from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

Substitute y = 1 into (1)

x = y + 1 = 1 + 1 = 2