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Sign of an expression in the sides using the triangle inequality

This type of question, asked 2 times: CDS 1 2023, CDS 2 2024. All 2 questions below, oldest first.

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  1. Question 1

    CDS 1 2023

    29
    If a, b and c are the sides of a triangle ABC, then a+b−c\sqrt{a} + \sqrt{b} - \sqrt{c} is always :

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  2. Question 2

    CDS 2 2024

    32
    If pp, qq and rr are the lengths (in cm) of the sides of a right-angled triangle, then (p−q−r)(q−r−p)(r−p−q)(p - q - r)(q - r - p)(r - p - q) is always

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