CAT | Geometry

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Q #1
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#### CAT Geometry: Obtuse Triangles - Integers

x, y, z are integer that are side of an obtuse-angled triangle. If xy = 4, find z.

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Q #2
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#### CAT Geometry: Isosceles Triangles - Integers

How many isosceles triangles with integer sides are possible such that sum of two of the side is 12?

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Q #3
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#### CAT Geometry: Triangles - Area

Sides of a triangle are 6, 10 and x for what value of x is the area of the ? the maximum?

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Q #4
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#### CAT Geometry: Equilateral triangle and circle

Two circles are placed in an equilateral triangle as shown in the figure. What is the ratio of the area of the smaller circle to that of the equilateral triangle +

Q #5
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#### CAT Geometry: Triangles - Perimeter

Perimeter of a ? with integer sides is equal to 15. How many such triangles are possible?

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