Construct a ΔABC in which AB = 6 cm, ∠ A = 30° and ∠ B = 60°. Construct another ΔAB' C' similar to ΔABC with base AB' = 8 an.

Question

Philoid · Accepted Answer

Steps of Construction:

1. Draw a line AB of length 6cm and extend it to B’ such that AB’ is of length 8 cm.

2. Make an angle of 30° from A and angle of 60° from B. The point where these extended rays meet is C.

3. As angles are equal in similar triangles, make an angle of 60° from B’ as well.

4. Extend the line AC along C such that it cuts the ray from B’ at C’.

5. AB’C’ is the required triangle .