In Δ ABC, ∠BAC = 90° and AD is perpendicular to BC. If AD = 6cm and BD = 4 cm, then the length of BC is

• 10 cm

• 12 cm

• 13 cm

• 15 cm

The point equidistant from the sides of a triangle is called:

• Circumcenter

• Incentre

• Orthocentre

• Centroid

In a Δ ABC,  if , then .

• 22.5°

• 90°

• 67.5°

• 112.5°

In Δ ABC and Δ DEF, if ∠A = 50°, ∠B = 70°, ∠C = 60°, ∠D = 60°, ∠E = 70° and ∠F = 50° then

• Δ ABC ~ Δ FED

• Δ ABC ~ Δ DFE

• Δ ABC ~ Δ EDF

• Δ ABC ~ Δ DEF

The point where three medians of a triangle meet is called

• Centroid

• Incentre

• Circumcentre

• Orthocentre

Δ ABC a right-angled triangle and D, E are midpoints of AB and BC respectively. Then the ratio of the area of Δ ABC and the area of trapezium ADEC is:

• 5 : 3

• 4 : 1

• 8 : 5

• 4 : 3

In an isosceles triangle ABC, AB = AC, XY || BC. If ∠A = 30°, then ∠BXY = ?

• 75°

• 30°

• 150°

• 105°

98.

If 'O' is the incentre of the Δ PQR. If ∠POR = 115° then value of ∠PQR is

• 40°

• 65°

• 50°

• 25°

The in-radius of triangle is 4 cm and its area is 34 sq cm. The perimeter of the triangle is

• 8.5 cm

• 17 cm

• 34 cm

• 20 cm

The area of a Δ ABC is 10.8 cm². If CP = PB and 2AQ = QB, then the area of the Δ APQ is:

• 3.6 cm²

• 0.9 cm²

• 2.7 cm²

• 1.8 cm²