Construct a triangle XYZ, given XY = 4.2 cm. YZ = 5.3 cm and ∠Y = 55°.

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Solution

Construction of ΔXYZ, where XY = 4.2 cm, YZ = 5. 3 cm and ∠Y = 55°.

Steps of construction:

(iv) Draw XY = 4.2 cm.

(v) Using a protractor, draw an angle of 55° at Y.

(vi) Measure 5.3 cm as radius and cut an arc so that it intersects at point Z.

Join XZ.

Thus, triangle XYZ is the required triangle.

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