Question

The perimeter of the triangle at right is 52 units. Write and solve an equation based on the information in the diagram. Use your

solution for to calculate the length of each side of the triangle. Be sure to confirm that your answer is correct. Homework Help
7x-4/
19
Equation:
Solve: z
10x + 3
Length of each side:
Red side:
7x - 4
19
Blue Side:
Yellow Side:
10r+3
(hp

Answer 1

• equation: (7x-4) +19 +(10x+3) = 52
• x = 2
• red: 10
• blue: 19
• yellow: 23

Explanation:

The equation is based on the relation that the perimeter is equal to the sum of the side lengths.

P = red + blue + yellow

52 = (7x -4) +(19) +(10x +3)

52 = 17x +18 . . . . . . . . . . . . . . simplify

34 = 17x . . . . . . . . . . . . . subtract 18

2 = x . . . . . . . . . . . . divide by 17

__

red = 7(2) -4 = 10

blue = 19

yellow = 10(2) +3 = 23