# 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?

## Triangles - Integer values

Q.7: △ABC has integer sides x, y, z such that xz = 12. How many such triangles are possible?
1. 8
2. 6
3. 9
4. 12

Choice (C). 9

## Detailed Solution

xz = 12
x,z can be 1, 12 or 2, 6 or 3, 4

Possible triangles
1 - 12 - 12
2 - 6 - 5;    2 - 6 - 6;    2 - 6 - 7
3 - 4 - 2;    3 - 4 - 3;    3 - 4 - 4;    3 - 4 - 5;    3 - 4 - 6.

There are totally 9 triangles.
Choice (C)

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## More questions from Geometry Triangles

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.