In the triangle ABC, AB = 2 cm, BC = 3 cm and AC = 4 cm. D is the middle point of AC. If a square is constructed on the side BC, what is the area of the square?

ΔABC is an equilateral triangle in which D, E and F are the points on sides BC, AC and AB, respectively, such that AD ⊥ BC, BE ⊥ AC and CF ⊥ AB. Which of the following is true?

The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the center (in cm) is 

Each interior angle of a regular polygon is 144⁰. The number of sides of the polygon is 

Each internal angle of regular polygon is two times its external angle. Then the number of sides of the polygon is: 

An angle is four times its complementary angle. What is the measure of the angle?

If angle bisector of a triangle bisects the opposite side, then what type of triangle is it?

AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is