Question

The ratio of the side lengths of an isosceles triangle is 4:4:7, and its perimeter is 52.5cm. What is the length of the base of the triangle?

Answer 1

`24 1/2 -> 24.5`

Explanation:

The given values of `4:4:7` are a ratio consisting of a total count of
`4+4+7 = 15` parts

As this is an Isosceles triangle the base is 7. However the 7 parts is out of 15 parts. So as a fraction of the whole perimeter it is `7/15`

Thus the length of the base of the triangle is:

`7/15xx52 1/2`

`7/(cancel(15)^1)xx(cancel(105)^7)/2" "=" "49/2" "=" "24 1/2`