Question

3.3. A triangle has sides of lengths (7x + 1) cm, (4x - 1) cm and (14- x) cm. If the

perimeter is 84 cm, find the dimensions of the triangle.

Answer 1

7 cm.

The triangle dimensions are: 50, 27, and 7 cm

Explanation:

The three sides of the triangle make up the entire perimeter. Add each side and set the result equal to 84cm, the perimeter.

(7x+1) + (4x-1) + (14-x) = 84 cm

10x + 14 = 84

10x = 70

x = 7 cm

Use x=7 to find the three dimensions:

1) (7x+1) = 50 cm

2) (4x-1) = 27 cm

3) (14-x) = 7 cm

Do these add to 84 cm?

(50+27+7) = 84 cm YES