Answer:
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.
