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)

Question

Responses

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 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 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

To determine whether the two right triangles are congruent, Malik can use the concept of HL (Hypotenuse-Leg) congruence. Since both triangles have a hypotenuse of 13 units, and he knows one leg of each triangle (12 units for the first triangle and 5 units for the second triangle), he can apply the HL theorem, which states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Therefore, the appropriate response is:

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