The question is from CAT Geometry - Triangles. CAT exam is known to test on multiple ideas in the same question, so you should be ready to face them. CAT Geometry questions are heavily tested in CAT exam. Make sure you master Geometry problems. If a triangle has sides a, b, and c one should be able to say whether the triangle is right, obtuse-angled or acute-angled. If we are told a given triangle is obtuse-angled what might we infer from that?
Question 1: x, y, z are integer that are side of an obtuse-angled triangle. If xy = 4, find z.
xy = 4
xy could be 2 *2 or 4 * 1
222 These are the possible triangles.
22x will be a triangle if x is 1, 2 or 3 (trial and error).
44x is a triangle only if x is 1.
1. 221 is acute. 12 + 22 > 22
2. 222 is equilateral. So acute.
3. 223 is obtuse. 22 + 22 < 32
4. 144 is acute. 12 + 42 > 42
The question is " x, y, z are integer that are side of an obtuse-angled triangle. If xy = 4, find z."
And so, the third side has to be 3
Choice B is the correct answer.
CAT® (Common Admission Test) is a registered trademark of the Indian Institutes of Management. This website is not endorsed or approved by IIMs.
2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093