In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpointof UV. IfWX = 23 – 2x, and TV = 64 – 10x, what is the measure of TV?
We know that the ratio of midsegment WX to side TV is 1 : 2
So, we have 2 * WX = TV
2(23 - 2x) = 64 - 10x
x = 9/4
TV = 64 - 10(9/4) = 83/2
