Given that DE || BC, AD : DB = 3 : 4, find out ar(∆ADE)/ar(∆ABC)?

The area of a triangle is 456 sq.cm and its height is 24 cm. The length of its base is

(2x + 4) and (x - 1) are the angle pairs of angles of measurement, then their measurement will be

Ratio of the number of sides of two regular polygons is 5 : 6 and the ratio of their each interior angle is 24 : 25. Then the number of sides of these two polygons are 

PQR is a right angled triangle in which PQ = QR . If the hypotenuse of the triangle is 20 cm , then what is the area ( in cm ) of the triangle PQR ?

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?

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

Find out the equation of line which is perpendicular to 2x - 3y = 5 and passes through point (1,1).