If ABC is an equilateral triangle and D is a point on BC such that AD is perpendicular to BC then BC : AD ?

A) \$AB : BD = 1 : 1\$

B) \$AB : BD = 1 : 2\$

C) \$AB : BD = 3 : 2\$

D) \$AB : BD = 2 : 1\$

If the area of a triangle is \$1176 cm^2\$ and base : corresponding altitude is \$3 : 4\$, then the altitude.

A) \$52 cm\$

B) \$42 cm\$

C) \$54 cm\$

D) \$56 cm\$

The area of two equilateral triangles are in the ratio 25 : 36. Their altitudes will be in the ratio ?

A) \$25 : 36\$

B) \$36 : 25\$

C) \$5 : 6 \$

D) \$\sqrt{5} : \sqrt{6}\$

The altitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm. The area (in \$cm^2\$) of the triangle is

A) \$180\$

B) \$240\$

C) \$360\$

D) \$120\$

The centroid of a triangle ABC is G. If the area of \$\triAngle\$ ABC = 72 sq. units , then the area of \$\triangle\$ BGC is

A) \$16 sq. units\$

B) \$24 sq. units\$

C) \$36 sq. units\$

D) \$48 sq. units\$