Question

Find the perimeter of ATUV. Round your answer to the nearest tenth if necessary.Figures are not necessarily drawn to scale.

Answer 1

Step-by-step explanation

To solve the question, we will first apply a similar triangle theorem

Similar triangles are triangles that have the same shape, but their sizes may vary.

so, we can compare similar sides to get x before we get the perimeter

Thus

`(SR)/(VU)=(QR)/(TU)`

Hence

`(23)/(x)=(20)/(24)`

Solving for x

`\begin{gathered} x=(23*24)/(20) \\ x=27.6 \end{gathered}`

Thus, we will have

Then the perimeter will be:

`VT+VU+TU=36+24+27.6=87.6`

Therefore, the perimeter of the triangle TUV is 87.6