Question
Construct a triangle ABC in which AB = 5 cm, ∠B = 60° and altitude CD = 3 cm. Construct a triangle AQR similar to ΔABC, such that each side of ΔAQR is 1.5 times that of the corresponding side of ΔABC.
Solution
Steps of Construction :
(i) Draw a line segment AB = 5 cm.
(ii) Draw ∠ABX = 60°.
(iii) Draw AM ⊥ AB at A.
(iv) Draw NT ⊥ AM cutting BX at C.
(v) Join AC.
Now, ABC is the required triangle.
Construction of another triangle AQR similar to ΔABC.
Steps of Construction :
(i) Produce AB to Q such that
(ii) Draw ∠SQA = 60°.
(iii) Produce AC to cut QS at R.
Then ΔAQR is the required triangle.
