Question

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

Explanation:

Step1: Recall HL - Hypotenuse - Leg theorem

For right - triangles to be congruent by HL, the hypotenuses must be equal and one pair of legs must be equal. Here, assume the hypotenuses are equal: $3x + 3=15$.

Step2: Solve the equation for x

Subtract 3 from both sides of the equation $3x + 3=15$:
$3x=15 - 3$
$3x = 12$
Then divide both sides by 3: $x=\frac{12}{3}=4$.
We can also check the legs. If $x = 4$, then $2x+1=2\times4 + 1=9$, which is equal to the corresponding leg in the other triangle.

Answer:

4