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Consider the triangle ABC shown in the following figure where BC=12 cm, DB=9 cm, CD=6 cm and RCD=RAC

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What is the ratio of the perimeter of ADC to that of the BDC ?

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Important Questions on Taste of The Exams - Block IV

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P, Q, S and R are points on the circumference of a circle of radius r, such that PQR is an equilateral triangle and PS is a diameter of the circle. What is the perimeter of the quadrilateral PQSR ?
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A rectangular floor is fully covered with square tiles of identical size. The tiles on the edges are white and the tiles in the interior are red. The number of white tiles is the same as the number of red tiles. A possible value of the number of tiles along one edge of the floor is
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A semi-circle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semi-circle at D. Given that AC=2 cm and CD=6 cm, the area of the semi-circle (in sq. cm. ) will be:
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An equilateral triangle BPC is drawn inside a square ABCD. What is the value of the angle APD in degrees?
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In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD=3 cm, then what is the radius (in cm ) of the circle circumscribing the triangle ABC ?
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Consider obtuse-angled triangles with sides 8 cm, 15 cm and x cm. If x is an integer then how many such triangles exist?
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Consider a square ABCD with midpoints E, F, G, H of AB, BC, CD and DA respectively. Let L denote the line passing through F and H. Consider points P and Q, on L and inside ABCD such that the angles APD and BQC both equal 120°. What is the ratio of the area of ABQCDP to the remaining area inside ABCD?
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Two circles, both of radii 1 cm, intersect such that the circumference of each one passes through the centre of the other. What is the area (in sq. cm.) of the intersecting region?