Question

Points E,D and H are the midpoints of the sides of TUV, UV=100,TV=126,and HD=100, find HE.

Answer 1

Since the triangles are similar there exists correspondance in the angles, so in order to solve this you just have to clear the function:

`\begin{gathered} (VD)/(VU)=(HD)/(TU) \\ \end{gathered}`

Since D is the midpoint of VU, VD=50

`\begin{gathered} (50)/(100)=(100)/(TU) \\ 50* TU=100*100 \\ TU=200 \end{gathered}`

then

`\begin{gathered} (HE)/(UV)=(HD)/(TU) \\ (HE)/(100)=(100)/(200) \\ HE=(100)/(200)*100 \\ HE=50 \end{gathered}`