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
