Question

GJ is a midsegment of △HIK. If HI=s–59 and GJ=s–65, what is the value of s?

Answer 1

s = 71

Explanation:

Given that GJ is a midsegment of the triangle then it is half the length of the third side, that is

GJ =
`(1)/(2)` HI , so

s - 65 =
`(1)/(2)` (s - 59) ← multiply both sides by 2 to clear the fraction

2s - 130 = s - 59 ( subtract s from both sides )

s - 130 = - 59 ( add 130 to both sides )

s = 71