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tatiyna
3 years ago
12

HELP WILL MARK YOU BRAINLIEST

Mathematics
1 answer:
bonufazy [111]3 years ago
6 0

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

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