G is the centroid of the equilateral Δ ABC, if AB = 9 cm, then AG is equal to:

• 

• 3 cm

• 

• 6 cm

82.

In the figure (not drawn to scale) given below, if AD = DC = BC and , then  then  is

 

• 32°

• 84°

• 64°

• 96°

In Δ ABC,  and , then the measure of  is

• 45°

• 30°

• 20°

• 5°

In ΔABC, the medians AD and BE meet at G. The ratio of the areas of ΔBDG and the quadrilateral GDCE is:

• 1 : 2

• 1 : 3

• 2 : 3

• 3 : 4

In a Δ ABC, BC is extended upto D; ∠ACD = 120°, ∠B = ∠A/2 then ∠A is

• 60°

• 75°

• 80°

• 90°

BE and CF are two altitudes of a Δ ABC. If AB = 6 cm, AC = 5 cm and CF = 4 cm, then the length of BE is

• 4.8 cm

• 7.5 cm

• 3.33 cm

• 5.5 cm

O is the ortho-centre of Δ ABC, and if ∠BOC = 110°, then ∠BAC will be

• 110°

• 70°

• 100°

• 90°

In a right angled triangle if hypotense is 20 cm and ratio of other two sides is 4 : 3, the length of the sides are

• 4 cm and 3 cm

• _{8 cm and 6 cm} 

• 12 cm and 9 cm

• 16 cm and 12 cm

D and E are the points on the sides AB and AC respectively of a Delta; ABC and AD = 8 cm, DB = 12 cm, AE = 6 cm and EC = 9 cm, then BC is equal to

• DE = 2/5 DE

• DE = 5/2 DE

• DE = 3/2 DE

• DE = 3/5 DE

Which one of the following combination of measurements can form the sides of a triangle?

• 9 cm,  6cm,  2cm

• 11 cm, 3 cm, 12 cm

• 3 cm,  5cm,  8cm

• 5cm,  7cm,  13cm