Question

Triangle STU is dilated by a scale factor of 2/3to form triangle S'T'U'. What is the measure of side US?

Answer 1

The dilation factor is 2/3. So ratio of sides of triangle is,

`\frac{U^(\prime)S^(\prime)}{US^{}}=(2)/(3)`

Determine the length of side US.

`\begin{gathered} (20)/(US)=(2)/(3) \\ US=20\cdot(3)/(2) \\ =30 \end{gathered}`

So measure of side US is 30 units.