1.

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

Answer»

Solution :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.`


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