Draw a triangle PQR such that PQ = 5 cm, ∠P=120° and PR=6cm. Construct another triangle whose sides are times the corresponding sides of .

Steps of Construction:

1.First, we draw a triangle PQR of given dimensions.

2.Draw a line segment PQ of length 5cm.

3.From P, make an angle of 120° and draw a ray from P.

4. Now taking P as centre and radius of 5cm(length of PQ), draw an arc on the ray. The point is Q.

5. Join QR.

6. Now we have to make a triangle which is � times of this triangle.

7. Draw a ray PZ making an acute angle with the line PR.Make 4 equal arcs starting from P then P₁ and so on till P₄.

8. Join P₄C.

9. Draw a line from P₃ parallel to P₄C cutting PR at R’.

10. Draw another line from R’ parallel to QR cutting PQ at Q’.

11.PQ’R’ is our required triangle.