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

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Solution

Construction of ΔLMN, where LM = 5 cm, MN = 6.8 cm and _.

Steps of construction:

(i) Draw LM = 5 cm.

(ii) Using a protractor, draw an angle of 70° at M.

(iii) Measure 6.8 cm as radius and cut an arc so that it intersects at point N.

Join LN.

Thus, triangle LMN is the required triangle.

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Construct $△$ LMN in which base MN = 7 cm, $∠$ LMN = $75^{\circ}$ and LM + LN = 9 cm.

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\frac{LM}{XY} = \frac{4}{3}

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