Question

The first side of a triangle is cm long. The second side is twice as long as the first.

The third side is 5 cm longer than the second side. The perimeter of the triangle is
1 metre.

write an equation to show this.
solve the equation.
find the length of the longest side of the triangle.

Answer 1

First side is 19, second side is 38 and third side, the longest is 43.

Explanation:

Let's call the first side a.

The second side, being twice as long as the first, is 2a.

The third side is 2a+5.

The equation is:

a+2a+2a+5=100, since 1 metre is 100 centimetre.

5a+5=100

5a=95

a=19

First side is 19, second side is 38 and third side, the longest is 43.