Ask Question
22 November, 17:31

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

+1
Answers (1)
  1. 22 November, 17:53
    0
    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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers