Noah drew a triangle so that all the sides are 5 inches long. He wants to draw a new triangle, but increase the length of each side by x inches. The perimeter of the new triangle is 24 inches.

Question

Mathematics

Ruben Glenn

11 August, 11:20

Noah drew a triangle so that all the sides are 5 inches long. He wants to draw a new triangle, but increase the length of each side by x inches. The perimeter of the new triangle is 24 inches.

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Shelby Moore · Answer 1

Complete question:

Noah drew a triangle so that all the sides are 5 inches long. He wants to draw a new triangle, but increase the length of each side by x inches. The perimeter of the new triangle is 24 inches. Find the value of x and length of the new side.

Answer:

x = 3 inches

The length of the new sides of the triangle is 8 inches

Step-by-step explanation:

If each of the sides of the original triangle is 5 inches, then it is an equilateral triangle.

Let the length of each of the side of the new triangle be, A, B and C.

A = 5 + x

B = 5 + x

C = 5 + x

A + B + C = 24

(5 + x) + (5 + x) + (5 + x) = 24

15 + 3x = 24

3x = 24 - 15

3x = 9

x = 9/3

x = 3

A = B = C = 5 + x = 5 + 3 = 8 inches

The length of the new sides of the triangle is 8 inches