Question

For what values of x and y are the triangles to

the right congruent by HL?
X=
and y=
X
x+3
3y
y+1

Answer 1

The values of x and y that makes the triangle meet the HL congruence theorem is y = 3 and x = 8

How to find the value of x and y

The value is sought using the knowledge that the corresponding Hypotenuse and one leg must be congruent.

Hence we have the equation

x + 1 = 4y

x = y + 8

Using substitution method

x + 1 = 4y

(y + 8) + 1 = 4y

y + 8 + 1 = 4y

9 = 4y - y

9 = 3y

y = 3

Then we solve for x

x = y + 8

x = 3 + 8

x = 11