Construct a triangle PQR, such that angleP=50^(@), angleQ=30^(@) and P – InterviewSolution

InterviewSolution

1.	Construct a triangle PQR, such that angleP=50^(@), angleQ=30^(@) and PQ-QR = 1.4 cm.
Answer» Solution :Step 1: Draw `bar(PX)`. Step 2: Locate the point `S` on `bar(PX)`, such that `PS=1/4 cm.` Step 3: Draw `bar(SY)`, such that `anglePSY = 180^(@)-1/2` `(180^(@)-ANGLEQ)=180^(@)-1/2(180^(@)-30^(@))=105^(@)`. Step 4: Draw `bar(PZ)`, such that `angleSPZ=50^(@)`, intersecting `bar(SY)` at `R.` Step 5: Draw perpendicular bisector of `bar(RS)` intersecting `bar(PX)` at `Q.` Step 6: Join `Q` and `R.` `PQR` is the required TRIANGLE.

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