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Question

Malik is comparing 2 right triangles. Both triangles have a hypotenuse of 13 units. The first triangle has a leg of 12 units and the other triangle has a leg of 5 units. How could Malik prove that the two triangles are congruent?(1 point) Responses He could apply the Pythagorean Theorem to show that the two missing sides make both triangles congruent. He could apply the Pythagorean Theorem to show that the two missing sides make both triangles congruent. He can conclude that they are congruent because they are both right triangles. He can conclude that they are congruent because they are both right triangles. He would need additional information to prove that the two triangles are congruent. He would need additional information to prove that the two triangles are congruent. He could apply the concept of HL and show that the two triangles are congruent.

Answer 1

He could apply the concept of HL and show that the two triangles are congruent.

In this case, HL (Hypotenuse-Leg) is a valid method for proving the congruence of right triangles. Both triangles have a hypotenuse of 13 units, and if we can find that one leg of the first triangle (12 units) and one leg of the second triangle (5 units) can be related to a third leg by the Pythagorean theorem, we could show their congruence using HL. However, it's important to note that based on the specific dimensions provided, these triangles would not actually be congruent, as the side lengths are different. So the response indicating they could be proven congruent using HL would be correct only in hypothetical situations where the dimensions satisfy the congruence criteria.