Question

1. two sides are given in an equilateral triangle: side 1 = 3x + 7, and side 2 = 4x. what is the length of the triangles sides? (hint: draw a picture)

a. side length = 7
b. side length = 4
c. side length = 28
d. side length = 2

Explanation:

Step1: Set up the equation

In an equilateral triangle, all sides are equal. So, \(3x + 7=4x\).

Step2: Solve for \(x\)

Subtract \(3x\) from both sides: \(3x+7 - 3x=4x-3x\), which gives \(x = 7\).

Step3: Find the side length

Substitute \(x = 7\) into side 2 (\(4x\)): \(4\times7=28\).

Answer:

C. side length = 28