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in Geometrical Constructions by (46.9k points)
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Draw ∆ABC such that l(BC) = 8 cm, l(CA) = 6 cm, m∠ABC = 40°.

Draw a ray to make an angle of 40° with the base BC, l(BC) = 8 cm. We have to obtain point ‘A’ on the ray. With ‘C’ as the centre, draw an arc of radius 6 cm to do so. What do we observe? The arc intersects the ray in two different points. Thus, we get two triangles of two different shapes having the given measures.

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by (47.6k points)
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Here ∠B is an acute angle. ∠C can be an acute angle or an obtuse angle. Hence we get two triangles of two different shapes.

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