Geometry
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11 In ΔABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is:
12 If the circumradius of an equilateral triangle be 10 cm, then the measure of it's in-radius is:
13 For a triangle base is 6$$\sqrt 3 $$ cm and two base angles are 30° and 60°. Then height of the triangle is:
14 Given triangle ABC, such that AB = AC, then ratio of the angle B to angle C = ?
15 In a right angled ΔABC, ∠ABC = 90°, AB = 3, BC = 4, CA = 5; BN is perpendicular to AC, AN : NC is:
16 If ABCD be a cyclic quadrilateral in which ∠A = 4x° , ∠B = 7x° , ∠C = 5y° , ∠D = y° , then×: y is:
17 A line DE parallel to the side BC intersects the other two sides of triangle at points D and E such that AD = (1/6)AB and AE = (1/6)AC. If the value of BC is 18 cm, calculate the value of DE (in cm):
18 If the incentre of an equilateral triangle lies inside the triangle and it's radius in 3 cm, then the side of the equilateral triangle is:
