In a triangle, if three altitudes are equal, then the triangle is

• equilateral

• right

• isosceles

• obtuse

If G is the centroid of Δ ABC and Δ ABC = 48 cm²,  then the area of Δ BGC is

• 8 cm²

• 16 cm²

• 24 cm²

• 32 cm²

In a Δ ABC, ∠A = 90°, ∠C = 55°, What is the value of ∠BAD ?

• 60°

• 45°

• 55°

• 35°

Taking any three of the line segments out of segments of length 2 cm, 3 cm, 5 cm and 6 cm, the number of triangles that can be formed is

• 1

• 4

• 3

• 2

115.

The radius of the circumcircle of a right angled triangle is 15 cm and the radius of  its inscribed circle is 6 cm. Find the sides of the triangle.

• 30, 24, 25

• 24, 36, 30

• 30, 40, 41

• 18, 24, 30

In a ΔABC, ∠A : ∠B : ∠C = 2 : 3 : 4, A line CD is drawn || to AB, then ∠ACD is

• 80°

• 20°

• 40°

• 60°

ABC is an isosceles triangle with AB = AC. A circle through B touching AC at the middle point intersects AB at P. Then, AP : BP is

• 3 : 5

• 1 : 4

• 4 : 1

• 2 : 3

If the length of the sides of a triangle are in the ratio 4 : 5 : 6 and the inradius of the triangle is 3 cm, then the altitude of the triangle corresponding to the largest side as base is

• 10 cm

• 8 cm

• 7.5 cm

• 6 cm

In a ΔABC, the side BC is extended upto D. Such that CD = AC, if ∠BAD = 109° and ∠ACb = 72°, then the value of ∠BAC is

• 35°

• 60°

• 40°

• 45°

ABC is a triangle. The bisectors of the internal angle ∠B and external angle ∠C intersect at D. If ∠BDC = 50° then ∠A is

• 100°

• 90°

• 120°

• 60°