Question

Construct a `DeltaABC` in which QR = 6 cm, `angleQ = 60^(@)` and PR - PQ = 2 cm.

Answer 1

Given that, in `DeltaABC, QR = 6 cm, angleQ = 60^(@)` and PR - PQ = 2 cm
Steps of Construction :
1. Draw the base QR = 6 cm.
2. At the point Q make an `angleXQR = 60^(@)`.
3. Cut line segment QS = PR - PQ (= 2 cm) from the line QX extended on opposite side of the segment QR.
4. Join SR.
5. Draw the perpendicular bisector LM of SR.
6. Let LM intersect QX at P.
7. Join PR.