Which of the following sets of measurements cannot be used to construct a unique triangle?

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

Which of the following sets of measurements cannot be used to construct a unique triangle? (a) 3 cm,  4 cm,  5 cm3\,\text{cm},\;4\,\text{cm},\;5\,\text{cm} (three sides) (b) 5 cm,  6 cm5\,\text{cm},\;6\,\text{cm} and a non-included angle 40∘40^{\circ} (c) Two angles 45∘,  60∘45^{\circ},\;60^{\circ} and the non-included side 6 cm6\,\text{cm} (d) Right angle (90∘)(90^{\circ}), hypotenuse 13 cm13\,\text{cm} and a leg 5 cm5\,\text{cm}

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