CAT Practice : Geometry-Triangles

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If you are given product of two sides of a triangle with integer sides, can you figure out the third side?

Triangle properties

    Q.9: △ has sides a2, b2 and c2. Then the triangle with sides a, b, c has to be:-
    1. Right-angled
    2. Acute-angled
    3. Obtuse-angled
    4. Can be any of these three

 

  • Correct Answer
    Choice (B). Acute-angled

Detailed Solution

Assuming a ≤ b ≤ c, we have a2 + b2 > c2.
This implies the triangle with sides a, b, c has to be acute-angled.
Choice (B).

Correct Answer: Acute-angled



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Geometry is probably the most vital topic as far as CAT preparation is concerned. Geometry sets the stage for Trigonometry, Cogeo and Mensuration as well.