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

Answer 1

Malik could apply the concept of HL (Hypotenuse-Leg) to show that the two triangles are congruent. The HL theorem states that if a triangle is a right triangle and the lengths of the hypotenuse and one leg of one triangle are equal to the lengths of the hypotenuse and one leg of another triangle, then the two triangles are congruent. In this case, both triangles have a hypotenuse of 13 units, and one leg is known for each triangle (12 units for the first triangle and 5 units for the second). However, since the legs are not the same, Malik does not have enough information to conclude that the two triangles are congruent based purely on the leg lengths he has.

Thus, the most accurate response is that he would need additional information to prove that the two triangles are congruent.