Construct a triangle PQR in which QR = 4.8 cm, ∠Q = 45° and ∠R = 55°.

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Solution

Steps of construction:

(1) Draw a sufficiently long line segment using a ruler.

(2) Locate points Q and R on it such that PQ = 4.8 cm.

(3) Construct line segments QM such that ∠MQR = 45°and RN such that ∠NRQ = 55°, which intersect at point P.

Then, PQR is the required triangle.

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