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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?

 

 Feb 25, 2021
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By mid-point theorem, 

\(KL = \dfrac12 GJ\\ 75 - 10 x = \dfrac{x + 3}{2}\\ 150 - 20x = x + 3\\ 21x = 147\\ x = 7\\GJ = x + 3 = 10\)

 Feb 25, 2021
edited by MaxWong  Feb 25, 2021

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