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miv72 [106K]
2 years ago
8

In \triangle LMN,△LMN, \angle N \cong \angle M,∠N≅∠M, LM = 14LM=14 and MN = 8MN=8. Find the length of NL.NL.

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
7 0

Answer:

11.5

Step-by-step explanation:

We solve using :

Pythagoras Theorem

LM² = MN² + NL²

NL² = LM² - MN²

NL = √LM² - MN²

NL = √14² - 8²

NL =  √(132)

NL = 11.489125293

NL = 11.5

Therefore, the length of NL = 11.5

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