Question

If TU = w - 42 and SV = w - 67, what is the value of w?

Answer 1

Given segment dividing triangle at two points of a sides of a triangle. Also, RS=RT and RV=VU.

We know midsegment theorem,

THE MIDSEGMENT THEOREM:

In triangle RTU, if RS=RT and RV=VU then TU parallel SV and

`SV=(1)/(2)TU`

So,

`\begin{gathered} w-67=(1)/(2)(w-42) \\ w-(w)/(2)=67-21 \\ (w)/(2)=46 \\ w=92 \end{gathered}`

Hence, value of w is 92.