Mathematics
Using ruler and compasses only construct a ΔPQR in which QR = 6 cm, ∠Q = 60° and ∠R = 75°. Draw the circumcircle of the triangle.
Constructions
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Answer
Steps of construction :
Draw a line segment QR = 6 cm.
At point Q, draw ray QA, such that ∠Q = 60°.
At point R, draw ray RY, such that ∠R = 75°.
The rays QA and RY intersect at point P.
Δ PQR is the required triangle.
Draw the perpendicular bisector of PQ and PR. Let these bisectors intersect at O.
With O as centre and OQ as radius, draw a circle, which is the required circumcircle of triangle PQR.
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