Question

If triangle ghj is congruent to triangle lmk, with a scale factor of 5:6, find the perimeter of triangle ghj

Answer 1

Answer: 35

Explanation:

1. By definition, the perimeter of a triangle is the sum of the lenght of each side.

2. Then, the perimeter of the triangle LMK is:

`P_(LMK)=14+17+11\\P_(LMK)=42`

3. If both triangles are congruent and the scale factor is 5:6 (Which you can rewrite as a fraction: 5/6), you must multiply the perimeter of the triangle LMK by this scale factor.

4. Then, you have that the perimeter of the triangle GHJ is:

`P_(GHJ)=42*(5)/(6)=35`