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Question
Construct a triangle PQR, given PQ = 6 cm, ∠P = 60° and ∠Q = 30°. Measure angle R and the length of PR.
Solution
Steps of Construction:
(1) Draw a line PQ = 6 cm.
(2) Using compass taking P as centre draw an angle ∠P = 60°.
(3) Using compass taking Q as a centre draw an angle ∠Q = 30°.
(4) PS and QT intersect each other R. (5) ∆RPQ is the required triangle.
On measuring; ∠R = 90°, length of PR = 3 cm.
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