Question

If the triangles are similar find the perimeter of triangle RST.

Answer 1

We will find the perimeter as follows:

*First, we will determine the length of segment RT, that is:

`(RT)/(6)=(7.5)/(4.5)_{}\Rightarrow RT=(7.5\cdot6)/(4.5)`
`\Rightarrow RT=10`

*Second: We add the lengths of the sides of triangle RST:

`P=5+7.5+10\Rightarrow P=22.5`

So, the perimeter of triangle RST is 22.5 units.