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

Step-by-step 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:

Upon subtracting 1 from both sides we will get,

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

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

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step-by-step explanation: