Question

The perimeter of a triangle is 93 It. Side a of thetriangle is twice as long as side b. Side c is 3 Itlonger than side a. Find the length of each side.

Answer 1

Step 1: Concept

The perimeter of a Triangle: A perimeter of a shape is the length of its boundary or the total length around the shape.

The perimeter of a triangle is the sum of the length of it boundary.

Step 2:

Draw the triangle

Step 3

Given data

Perimeter of a triangle = 93 ft

a = 2x

b = x

c = 3 + 2x

`\begin{gathered} \text{Perimeter of a triangle = a + b + c} \\ 93\text{ = 2x + x + 3 + 2x} \\ \text{Collect similar terms} \\ 93\text{ - 3 = 2x + x +2x} \\ 90\text{ = 5x} \\ (5x)/(5)\text{ = }(90)/(5) \\ x\text{ = 18} \end{gathered}`

Final answer

`\begin{gathered} a\text{ = 2x = 2}*\text{ 18 = 36 ft} \\ \\ b\text{ = x = 18 ft} \\ \\ c\text{ = 3 + 2x = 3 + 36 = 39 ft} \end{gathered}`

a = 36 ft , b = 18 ft , c = 39 ft