Question

One side of a triangle is 4 more inches than the shortest side. The third side is 3 times the length of the shortest side. If the perimeter of the triangle is 29 inches, write and solve an equation to find the lengths of all 3 side of the triangle.

Answer 1

The three sides of the triangle have the measures

5 inches

9 inches

15 inches

Step-by-step explanation

The perimeter of a figure is the sum of the dimensions of its exterior sides.

Let the length of the shortest side of the triangle be x inches

One side of a triangle is 4 more inches than the shortest side, that is, (x + 4) inches.

The third side is 3 times the length of the shortest side. That is, (3x) inches

So, the three sides of the triangle are

x

x + 4

3x

So, the sum of these sides is equal to the perimeter of the triangle, 29 inches.

x + x + 4 + 3x = 29

5x + 4 = 29

5x = 29 - 4

5x = 25

Divide both sides by 5

(5x/5) = (25/5)

x = 5 inches

x + 4 = 5 + 4 = 9 inches

3x = 3 (5) = 15 inches

Hope this Helps!!!