Question

if △nmk ≅ △trp, use the figure below to answer questions #1 - 3.
what is the perimeter of triangle trp? given that triangle nmk has side lengths of 20, 15, and 25

question 2
2 pts
if △nmk ≅ △trp, use the figure below to answer questions #1 - 3.
what is the side length for side tr?

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle NMK\cong\triangle TRP\), their corresponding sides are equal.

Step2: Find the perimeter of \(\triangle NMK\)

The perimeter of \(\triangle NMK\) is \(20 + 15+25=60\).

Step3: Determine the perimeter of \(\triangle TRP\)

Because \(\triangle NMK\cong\triangle TRP\), the perimeter of \(\triangle TRP\) is equal to the perimeter of \(\triangle NMK\).

Step4: Find the side - length of \(TR\)

Since \(\triangle NMK\cong\triangle TRP\), \(TR = NM\). Given \(NM = 20\), so \(TR = 20\).

Answer:

The perimeter of \(\triangle TRP\) is \(60\). The side - length of \(TR\) is \(20\).