Question

The ratio of two side lengths for the triangle is given. What is the value of “q” AB:BC is 3:4

Answer 1

`q=8.5`

Explanation:

The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;

`(AB)/(BC)=(3)/(4)`

Substitute,

`(60)/(10q+15)=(3)/(4)`

Cross products,

`(60)/(10q+15)=(3)/(4)`

`(60)(4)=(10q+15)(3)\\\\240=30q+45`

Inverse operations,

`240=30q+45\\\\195=30q\\\\8.5=q`