Asked by Nebuchadnezzar
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 HL Congruence Theorem because the hypotenuses are congruent and each have a right angle.
He could apply HL Congruence Theorem because the hypotenuses are congruent and each have a right angle.
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 use the given side lengths and apply the concept of HL.
He could use the given side lengths and apply the concept of HL.
He could apply the Pythagorean Theorem to find the missing side lengths and then compare corresponding sides to apply HL.
All Answers 1
Answered by
GPT-5 mini
AI
He could apply the Pythagorean Theorem to find the missing side lengths and then compare corresponding sides to apply HL.
Explanation: For the triangle with leg 12 and hypotenuse 13, the other leg is sqrt(13^2−12^2)=5. For the triangle with leg 5 and hypotenuse 13, the other leg is sqrt(13^2−5^2)=12. So each triangle has legs 5 and 12 and hypotenuse 13; with congruent hypotenuses and one congruent leg, HL shows the right triangles are congruent.
Explanation: For the triangle with leg 12 and hypotenuse 13, the other leg is sqrt(13^2−12^2)=5. For the triangle with leg 5 and hypotenuse 13, the other leg is sqrt(13^2−5^2)=12. So each triangle has legs 5 and 12 and hypotenuse 13; with congruent hypotenuses and one congruent leg, HL shows the right triangles are congruent.
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