MHT CET 2023 Mathematics question

MathematicsSolution of TrianglesMHT CET 2023

Not in JEE syllabus

In a triangle ABC, , , are in A.P. and lengths of two larger sides are 10 units, 9 units respectively, then the length (in units) of the third side is

Answer: (A)

Solution

Angles in A.P. give , and with we get . Since is the middle angle, side opposite to it is the middle side: , and the largest side is , with the third side the smallest. Use the cosine rule at : . Taking the two other

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Question ID VK-098233