Question

Point e,d, and h are the midpoints of the sides of the triangle TUV. UV = 80, TV=100, and HD = 80

Answer 1

Explanation:

We will use to midsegment theorem to solve this question.

Midsegment theorem,

Segment joining the midpoints of two sides of a triangle, is parallel and and measure the half of the the third side.

7). HE is the midsegment.

HE =
`(1)/(2)(VU)`

=
`(1)/(2)* (80)`

= 40

8). ED =
`(1)/(2)* (TV)`

=
`(1)/(2)(100)`

= 50

9). HD =
`(1)/(2)(TU)`

TU = 2(HD)

= 2(80)

= 160

10). TE =
`(1)/(2)(TU)`

=
`(1)/(2)* 160`

= 80