Question

Triangle A has sides of lengths `12`, `9`, and `6`. Triangle B is similar to triangle A and has a side of length `24`. What are the possible lengths of the other two sides of triangle B?

Answer 1

The other two lengths are `18` and `12`

Explanation:

Similarity in simple words means that two objects have the same shape But, have different sizes.

We can find the other two sides using the proportionality of the first corresponding sides

Consider the diagrams

Use the proportionality

`:.color(blue)(24/12=x/9=y/6`

Solve for `x/9`

`rarr24/12=x/9`

`rarr2=x/9`

`color(green)(rArrx=9*2=18`

Solve for `y/6`

`rarr24/12=y/6`

`rarr2=y/6`

`color(green)(rArry=6*2=12`