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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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The base of a triangle is 80  cm\mathrm{80}\,\,\mathrm{cm} and one of the base angles is 60∘60^\circ. If the sum of the lengths of the other two sides is 90  cm\mathrm{90}\,\,\mathrm{cm}, then the length of the shortest side is
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Correct option: D
17  cm\mathrm{17}\,\,\mathrm{cm}
Option D (17 cm) is correct because by using the cosine rule and the given conditions, we can find the length of the shortest side to be 17 cm.

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