Question

Triangle LMN is congruent to triangle FGH, as shown.

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65
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5-
4
3
321
2-
-6-5-4-3-2-14 2 3 4 5 6
یہ ب
-2
-3
FL
4
5
6
H
X
What is the length of side LM?
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Answer 1

Answer: 5

Explanation:

If
`\triangle LMN \cong \triangle FGH`, this means that
`\overline{LM} \cong \overline{FG}` by CPCTC.

Using the distance formula,

`FG=\sqrt{(-3-0)^(2)+(-4-0)^(2)}=5\\\\\therefore LM=\boxed{5}`