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The question is from CAT Geometry - Triangles. It tests our understanding of triangle properties. CAT Geometry questions are heavily tested in CAT exam. Make sure you master Geometry problems. If you are given product of two sides of a triangle with integer sides, can you figure out the third side?

Question 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

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Explanatory Answer

Method of solving this CAT Question from Triangles: Its a simple question applying the properties of the triangle

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

The question is "△ has sides a2, b2 and c2. Then the triangle with sides a, b, c has to be:"

Hence, the answer is Acute-angled .

Choice B is the correct answer.


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