Construct a triangle ABC in which BC = 5.2 cm, ∠B = 35° and ∠C = 80°.

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Solution

Steps of construction:

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

(2) Locate points B and C on it such that BC = 5.2 cm.

(3) Construct line segments CP such that ∠PCB = 80° and BQ such that ∠CBQ = 35°, which intersect at A.

Then, ABC is the required triangle.

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