Construct an isosceles triangle whose base is 6 cm and altitude 4 cm. Then construct another triangle whose sides are times the corresponding sides of the isosceles triangle.

Steps of Construction:

1.Draw a line segment AB of length 6 cm.

2.Now as we know that the altitude of the isosceles triangle is also the bisector of the base line. So we draw a perpendicular bisector of line BC.

3.We cut an arc of length 4 cm (length of altitude). The arc cut point is C.

4. Join AB and AC. ABC is the triangle of the given dimensions.

5.Now we have draw a triangle which is 3/4 times of this triangle.

6. Draw a ray from A making an acute angle with AB. Make 4 equal arcs along the ray, i.e. A1, A2, A3, and A4.

7.Join A4B.

8. From A3, draw a line parallel to A4B cutting AB at B’.

9. From B’, draw another line parallel to BC cutting AC at C’.

10.AB’C’ is our required triangle.