41. In a right angled triangle ΔDEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is:
42. In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is:
43. In case of an acute angled triangle, its orthocenter lies:
44. If the measure of the angles of a triangle are in the ratio 1 : 2 : 3 and if the length of the smallest side of the triangle is 10 cm, then the length of the longest side is:
45. In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incenter of ΔABC, ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are:
46. In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD is:
47. An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is:
48. If ΔPQR and ΔLMN are similar and 3PQ = LM and MN = 9 cm, then QR is equal to:
49. In a ΔABC, ∠A + ∠B = 75° and ∠B + ∠C = 140°, then ∠B is:
50. ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true?
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