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Question

In ΔABC, if A = 45 and B = 70, then the shortest and the longest sides of the triangle, respectively, are?


A

AB, BC

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B

BC, AC

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C

AB, AC

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D

None of these

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Solution

The correct option is B

BC, AC


As we know that the three angles of a triangle add up to 180,
Also, the other two angles are given as,
A = 45 and B = 70
Therefore, C = 180 - 45 - 70 = 65

Hence, the side opposite to A, i.e. BC, is the smallest and the side opposite to B, i.e. AC, is the largest .


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