Construct a △PQR which the base PQ=4.5cm,∠R=35∘ and the median from R to RG is 6cm.
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Solution
Construction:
Step (1) Draw a line segment PQ=4.5cm
Step (2) At P, draw PE such that ∠QPE=35∘.
Step (3) At P, draw PF such that ∠EPF=90∘.
Step (4) Draw ⊥┌bisector to PQ which intersects PF at O.
Step (5) With O centre OP as raidus draw a circle.
Step (6) From G mark arcs of 6cm on the circle.
Mark them as R and S.
Step (7) Join PR and RQ.
Step (8) PQR is the required triangle.