The largest and the second largest angles of a triangle are in the ratio of 4 : 3 respectively. The smallest angle is half the largest angle. What is the difference between the smallest and the largest angles of the triangle?

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BANK PO Exam (Allahabad Bank) 2011 click here to view all questions

The largest and the second largest angles of a triangle are in the ratio of 4 : 3 respectively. The smallest angle is half the largest angle. What is the difference between the smallest and the largest angles of the triangle?

A30°

B60°

C40°

D20°

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Correct answer is: 40° Explanation: The smallest angle of triangle is half of the largest angle. Therefore, Ratio of three angles = 4 : 3 : 2   Now, 4x + 3x + 2x = $180^o$ $\implies 9x = 180 \implies x = 20$ Therefore, Required difference = 4x - 2x = 2x = $\Large 2 \times 20 = 40^o$ Nithin ? answered Aug 13 '2022 at 21:46 All Comments

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