Q26 of 46 Page 1

Construct a ∆ABC in which AB = 6 cm, ∠A = 30° and ∠B = 60°. Construct another ∆AB’C’ similar to ∆ABC with base AB’ = 8 cm.


Steps of construction :


1. Draw a line AB = 6 cm


2. Draw ∠BAY = 30° and ∠ABX = 60°


3. AY and BZ intersect at a point C.


4. Join BC and AC to get ∆ABC


5. Now extend AB to B' such that AB' = 8 cm


6. Draw ∠AB'X = 60°


7. B'X intersect AY at C'


8. AB'C' is the triangle similar to △ABC


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