9514 1404 393
Answer:
JL = 9√13
Step-by-step explanation:
All of the triangles in this geometry are similar:
∆MKL ~ ∆MLJ ~ ∆LKJ
Corresponding sides of similar triangles are proportional, so you can write the relations ...
JL/JM = JK/JL ⇒ JL² = JM·JK
LM/JM = KM/LM ⇒ LM² = JM·KM
Using the second expression to find JM, we have ...
JM = LM²/KM = 18²/12 = 27
We know that JK = JM +KM. Then the first expression can be ...
JL² = 27·(27 +12) = 9²·13
JL = 9√13
