An isoceles triangle of the same area as triangle ABC was constructed, where AB = 4 cm, angle B = 60 degrees, and AC = 6 cm. The steps were to draw triangle ABC, construct a parallel line EF through C using a set square and scale, draw perpendiculars from A and B to EF to form a rectangle ABHG, note that GH = 4 cm, take the midpoint I of GH, and join AI and BI to form the required isoceles triangle ABI.

2. POWER POINT
PRESENTATION

3. AREA
TOPIC: GEOMETRICAL CONSTRUCTION

4. Construction of an isoceles triangle of the same
area of ∆ABC, AB = 4 cm, ∠B = 60◦,
AC = 6 cm.

5. • Draw ∆ABC

6. • Draw EF || AB through C using a set square
and scale.

7. • Draw perpendicular from A to EF and B to EF.
Name the intersecting points, G & H
respectively.
Thus we got a rectangle ABHG.
∴ GH = 4 cm

8. • Take the mid point of GH and name it as I

9. • Join A and I, then B and I
∴ ∆ ABI is the required triangle