Construct ΔABC with BC = 7.5 cm, AC = 5 cm and m∠C = 60°.

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Solution

A rough sketch of the required triangle is as follows.

The steps of construction are as follows.

(i) Draw a line segment BC of length 7.5 cm.

(ii) At point C, draw a ray CX making 60º with BC.

(iii) Taking C as centre, draw an arc of 5 cm radius. It intersects CX at point A.

(iv) Join A to B to obtain triangle ABC.

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Δ A B C

∠ C = 60^{\circ}

Δ A B C

∠ B = 60^{\circ}

Question 3
Construct $Δ A B C$ with BC = 7.5 cm and $∠ C = 60^{\circ}$ , and AC = 5cm.

△ A B C

B C = 7.5 c m

A C = 5 c m

m ∠ C = 60^{o}

Δ A B C

∠ B = 60^{\circ}

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