Question

for the triangles to be congruent by hl, what must be the value of x? 2 3 4 7

Explanation:

Step1: Recall HL congruence

HL (Hypotenuse - Leg) states that for right - triangles, if the hypotenuse and one leg of one right - triangle are congruent to the hypotenuse and one leg of another right - triangle, the triangles are congruent. Here, the hypotenuse of the first triangle is 15. So, $3x + 3=15$.

Step2: Solve the equation

Subtract 3 from both sides of the equation $3x + 3=15$:
$3x=15 - 3$
$3x=12$
Divide both sides by 3:
$x = \frac{12}{3}=4$

Answer:

4