Each side of triangle ABC is divided into three equal parts. Find the ratio of the area of hexagon `P Q R S T U` to the area of the triangle ABC.

Find the ratio of the area of the equilateral triangle and that of its circumcircle

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.

If A is the area and 2s is the sum of the sides of a triangle, then

(iv) The centroid of the Delta ABC is G, If the area of the Delta GBC be 12 Sq. cm, the area of the Delta ABC is

In a ΔABC, a semicircle is inscribed, whose diameter lies on the side c. Then find the radius of the semicircle.(Where Δ is the area of the triangle ABC)

If the area of the square drawn on any side of a triangle is equal to the sum of the areas of the squares drawn on the other two sides of the triangle ,then the triangle will be right-angled triangle, the opposite angle of the greatest side of which will be "......................" .

Points A, B, C lie on the parabola y^2=4ax The tangents to the parabola at A, B and C, taken in pair, intersect at points P, Q and R. Determine the ratio of the areas of the triangle ABC and triangle PQR

A triangle with equal sides has perimeter 9 cm. Then find the area of the triangle

The ratio of the sides of a triangle ABC is 1: sqrt3:2. Then the ratio A:B:C is-