Identify the criterion of construction of the equilateral triangle LMN given LM = 6 cm.

S.A.S. criterion

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R.H.S. criterion

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A.S.A. criterion

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S.S.S. criterion

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Solution

The correct option is D S.S.S. criterion
Since $Δ$ LMN is equilateral the measurement of all sides are equal. Now we have the measurement of three sides, a triangle can be constructed. Hence $Δ$ LMN can be constructed by S.S.S. criterion.

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Construct a triangle LMN, given LM = 5 cm, MN = 6.8 cm and ∠LMN = 70°. Write the steps of construction.

$△ L M N \sim$ $△ X Y Z$ . In $△ L M N, L M = 6 c m, M N = 6.8 c m, L N = 7.6 c m$ and $\frac{L M}{X Y} = \frac{4}{5}$ ; Construct $△ X Y Z$ .

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