JEE Main Mathematics question

MathematicsSolution of TrianglesJEE Main

Not in JEE syllabus

The base of a triangle is 80 cm and one of the base angles is . If the sum of the lengths of the other two sides is 90 cm, then the length of the shortest side is

Answer: (D)

Solution

Let the base be with the angle at , and let the other sides satisfy . Cosine rule at :

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Question ID VK-008522