Question

Points E, D and H are the midpoints of the sides of TUV. UV = 44, TV = 56, and HD = 44. find HE.

Answer 1

check the picture below.

we know H, E and D are midpoints, and as you call from the previous one, the midsegment is made by the midpoints, so HE is the midsegment of the triangle, with a parallel base of UV, well, we know what UV is, so the midsegment is half that.

Answer 2

22 units long.

Explanation:

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

`(44)/(HE) =(56)/(28) \\HE=(44*28)/(56) \\HE=22`

So the answer to the question is that HE is 22 units long.