Question

Question 3 options:
In an equilateral triangle, all 3 sides are equal length, and the perimeter of an equilateral triangle is 3 times the length of one side.

If one side measures 9 + 3x, and the measure of another side is 5x – 5, what is the perimeter of the equilateral triangle?

Answer 1

Answer:

90

Step-by-step explanation:

Given: Measure of one side of equilateral triangle = $9+3x$

Measure of another side of equilateral triangle = $5x-5$

In equilateral triangle all three sides are equal in length.Therefore,

$5x-5 =9+3x$

$5x-3x=9+5$

$2x=14$

$x=\frac{14}{2} =7$

On substituting the value of x in side of equilateral triangle,

One side of equilateral triangle = $5x-5=\left (5(7)-5 \right )=(35-5)=30$

Perimeter of equilateral triangle = 3 ( length of one side) ........( given)

perimeter of equilateral triangle = $3\times30 = 90.$