Question

For what values of x and y are the triangles shown congruent by HL?

Answer 1

x=3, y=6

Explanation:

If these triangles are congruent via HL, then:

4x+1=13

2x+y=8x-2y

Let's start with the first equation:

4x+1=13

Subtract 1 from both sides:

4x=12

Divide both sides by 4:

x=3

Plugging this into the second equation, you get:

2(3)+y=8(3)-2y

6+y=24-2y

Add 2y to both sides:

6+3y=24

Subtract 6 from both sides:

3y=18

Divide both sides by 3:

y=6

Hope this helps!