Question

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?

Answer 1

`9.3 + b = 14.5`

Explanation:

Longest side of ∆ = 2a = 6.2 cm

If the shortest side is, a, and we are told that the longest side is twice the shortest side, therefore, length of shortest side is

The sum of the 3 sides = perimeter = 14.5 cm

Thus,

`a + 2a + b = 14.5 cm`

Plug in the values of a and b

`3.1 + 6.2 + b = 14.5`

The equation that can be used to find the side lengths is
`9.3 + b = 14.5`