Question

For the triangles to be congruent by HL, what must be the value of x?

Answer 1

A) X=4

Explanation:

Edge

Answer 2

`x=4`

Explanation:

We have been given two right triangles. We are asked to find the value of x, which will make both triangles similar by Hypotenuse-Leg congruence.

Hypotenuse-Leg theorem states if one leg and hypotenuse of a right triangle is congruent to the one leg and hypotenuse of other right triangle, then both triangles are congruent.

So we can set an equation as:

`2x+1=9`

Upon subtracting 1 from both sides we will get,

`2x+1-1=9-1`

`2x=8`

Dividing both sides of our equation by 2 we will get,

`(2x)/(2)=(8)/(2)`

`x=4`

Therefore, the value of x equals 4 will make both triangles congruent by HL theorem.