Question

Find length of RT

172
86
21
43

Answer 1

b

Explanation:

a segment joining the midpoints of two sides of a triangle ( midsegment ) is half the length of the third side.

PQ is a midsegment of the triangle , then

PQ =
`(1)/(2)` RT , that is

15x - 17 =
`(1)/(2)` (23x - 6) ← multiply both sides by 2 to clear the fraction

30x - 34 = 23x - 6 ( subtract 23x from both sides )

7x - 34 = - 6 ( add 34 to both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Then

RT = 23x - 6 = 23(4) - 6 = 92 - 6 = 86