Question

Use the figure below to find the length of the midsegment.

68
54
4x + 6
68
54
4x + 44

Answer 1

38

Explanation:

4x + 6 = ½(4x + 44) (midsegment theorem)

Multiply both sides by 2

2(4x + 6) = 4x + 44

8x + 12 = 4x + 44

Collect like terms

8x - 4x = -12 + 44

4x = 32

Divide both sides by 4

x = 8

Length of midsegment = 4x + 6

Plug in the value of x

Midsegment = 4(8) + 6

= 32 + 6

= 38