81. G is the centroid of a triangle ABC, whose sides AB = 35 cm, BC = 12 cm, and AC = 37 cm. The length of BG is (correct to one decimal place):
82. ABCD is a rhombus with ∠ABC = 52°. The measure of ∠ACD is:
83. In the given figure, O is the centre of the circle. If ∠BAO = 30° and ∠BCO = 50°, then ∠AOC is equal to:
84. ΔLMN, LM = 5√2 cm and ∠LMN = 135°. What is the length (in cm) of MN?
85. PQR is a triangle, whose area is 180 cm2. S is a point on side QR, such that PS is the angle bisector of ∠QPR. If PQ : PR = 2 : 3, then what is the area (in cm2) triangle PSR?
86. In the given figure, triangle PQR is a right-angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR?
87. In ΔABC, ∠A - ∠B = 33°, ∠B - ∠C = 18°. What is the sum of the smallest and the largest angles of the triangle?
88. In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD ?
89. A circle is inscribed in ΔABC, touching AB, BC and AC at the points P, Q and R respectively. If AB - BC = 4 cm, AB - AC = 2 cm and the perimeter of ΔABC = 32 cm, then PB + AR is equal to:
90. In the given figure, O is centre of the circle. Circle has 3 tangents. If ∠QPR = 45°, then what is the value (in degrees) of ∠QOR?
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