Construct a triangle PQR, such that PQ =3/8cm, QR=4.3 cm and the media – InterviewSolution

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1.	Construct a triangle PQR, such that PQ =3/8cm, QR=4.3 cm and the median from Q to PR is 3.5cm.
Answer» Solution :Step 1: DRAW a line segment QR of length `4/3 cm.` Step 2: Draw the perpendicular bisector of `BAR(QR)` and mark the mid-point of `QR` as `S`. Step 3: Taking `Q` as the CENTER and radius equal to `3.5 cm,` draw an arc. Step 4: Taking `S` as the center and radius `=1.9 cm` `(1/2 PQ)`, draw another arc intersecting the already drawn arc (in Step 3) at `T.` Step 5: Join `R` and `T` and produce `RT` to `X`. Step 6: With `Q` as the center and radius `= 3.8` cm, draw an arc to intersect `bar(RX)` at `P`. Join `PQ`. `trianglePQR` is the required triangle.

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