In The Diagram Below Of Triangle GHJ, K Is A Midpoint Of GH And L Is A Midpoint Of HJ. If KL = 75 - 10x and GJ = x + 3, what is the measure of GJ?
By mid-point theorem,
\(KL = \dfrac12 GJ\\ 75 - 10 x = \dfrac{x + 3}{2}\\ 150 - 20x = x + 3\\ 21x = 147\\ x = 7\\GJ = x + 3 = 10\)
