1.  The area of the largest triangle that can be inscribed in a semi-circle of radius r, is :


r2
2r2
r3
2r3


Answer

 Option

Required area = 12 * base * height = (12 * 2r * r) = r2.

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2.  An equilateral triangle, a square and a circle have equal perimeters. If T denotes the area of the triangles, S the area of the square and C, the area of the circle, then :


S < T < C
T < C < S
T < S < C
C < S < T


Answer

 Option

Let the perimeter of each be a. Then, side of the equilateral triangle = a3; side of the square = a4 radius of the circle = a. T = 34 * (a3)2 = 3a236; S = (a4)2 = a216; C = π * (a)2 = a2 = 7a288. So, C > S > T.

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3.  Formula for a Radius of incircle of an equilateral triangle of side a ?


a22
a23
a32
a33


Answer

 Option

No answer description available for this question.

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4.  Formula for area of a equilateral triangle


34 * (side)2
24 * (side)2
34 * (side)3
32 * (side)2


Answer

 Option

No answer description available for this question.

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5.  The sides of a triangle are 6 cm, 11 cm and 15 cm. The radius of its incircle is :


32 cm
425 cm
524 cm
62


Answer

 Option

We have : a = 6, b = 11, c = 15, s = 12(6 + 11 + 15) = 16. Area of the triangle , △ = 16 * 10 * 5 * 1 = 202 cm2. Radius of incircle =s = 20216 = 524

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