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Construct a △ABC in which BC = 5cm, ∠C = 60° and altitude from A equal to 3 cm. Construct a △ADE is 3/2 times the corresponding side of △ABC. Write the steps of construction.

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Steps of Construction:

Step 1: Draw a line l.

Step 2: Draw an angle of 90° at M on l

Step 3: Cut an arc of radius 3 cm on the perpendicular. Mark the point as A

Step 4: With A as center, make an angle of 30° and let it cut l at C. We get ∠ACB = 60°.

Step 5: Cut an arc of 5 cm from C on l and mark the point as B.

Step 6: Join AB..

Thus, △ABC is obtained

Step 7: Extend AB to D, such that BD = BC.

Step 8: Draw DE || BC, cutting AC produced to E.

Then, △ADE is the required triangle, each of whose sides is of the corresponding sides of △ABC.

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