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Question

The sides of a triangle are k, 1.5k, and 2.25k. What is the sum of the squares of its medians?

This question was previously asked in
CDS 2 2025 Maths Question Paper (14-Sep-2025)
The correct answer is

399k²/64

The formula for the sum of the squares of the medians of a triangle with sides a, b, and c is given by:

Sum of squares of medians = (3/4) * (a² + b² + c²)

Here, the sides are k, 1.5k, and 2.25k. Substituting these values and simplifying will give the answer as (d) 399k²/64.

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