Triangles a b c and h g l are congruent. angles a b c and h g l are right angles. the length of hypotenuse a c is 15 and the length of hypotenuse h l is 3 x + 3. the length of a b is 9 and the length of b c is 12. the length of g l is 2 x + 1. for the triangles to be congruent by hl, what must be the value of x? 2 3 4 7

x = 4

Therefore, for the triangles to be congruent by HL, the value of x must be 4.

Step-by-step explanation:

Given: ΔABC and ΔHGL are congruent. ∠ABC = ∠HGL = 90°.

Length of hypotenuse AC = 15

Length of hypotenuse HL = 3x + 3

Length of AB = 9, Length of BC = 12 and Length of GL = 2x + 1.

Sol: ∵ ΔABC ≅ ΔHGL

Length of HL = Length of AC (corresponding parts of congruent triangles)

3x + 3 = 15

3x = 15 - 3

3x = 12

x = 12/3 = 4

Therefore, for the triangles to be congruent by HL, the value of x must be 4.

7

step-by-step explanation:

the answer would be 7