Question

The perimeter of a triangle is 35 cm. The length of the third side is twice the length of the first side. The length of the second side is half the length of the first side. Find the lengths of the three sides.

Answer 1

10 cm, 5 cm, 20 cm

Explanation:

Let x = length of the first side in centimeters. From the question, we know that 0.5x = length of the second side and 2x = length of the third side. Perimeter is the sum of the lengths of all sides, so we can set up the equation like this.

35 = x + 0.5x + 2x

35 = 3.5x

x = 10

Then, now that we know the value of x, we can figure out the lengths of all 3 sides. The first side is equal to x, second to 0.5x, and third to 2x, so the lengths of the three sides are 10 cm, 5 cm, and 20 cm.