Question

value: 2
which line segment is the hypotenuse of triangle mnp?

a. ec
b. pn
c. mn

Explanation:

Step1: Recall hypotenuse definition

In a right - triangle, the hypotenuse is the side opposite the right angle and is the longest side of the right - triangle.

Step2: Identify right angle in △MNP

In triangle MNP, the right angle is at vertex P (as indicated by the right - angle symbol at ∠P).

Step3: Determine the hypotenuse

The sides of triangle MNP are PN, PM, and MN. The side opposite the right angle (∠P) is MN. Now let's analyze the options:

• Option a: EC is a side of triangle CDE, not related to triangle MNP.
• Option b: PN is one of the legs of triangle MNP (since it is adjacent to the right angle at P).
• Option c: MN is opposite the right angle at P in triangle MNP, so it is the hypotenuse.

Answer:

c. MN