Pis a point inside the triangle ABC. Lines are drawn through P, parallel to the sides of the triangle.The three resulting triangles with the vertex at P have areas `4,9 and 49 sq`. units. The area of thetriangle ABC is -

Three straight lines are drawn through a point Plying in the interior of the Delta ABC and parallel to its sides.Theareas of the three resulting triangles with P as the vertex are s_(1),s_(2) and s_(3). The area of the triangle in terms of s_(1) and s_(2) and s_(3) is

P is a point on the bisector of angle ABC .If the line through P,parallel to BA meet at Q ,prove that BPO is an isosceles triangle.

In a triangle ABC,vertex angles A,B,C and side BC are given .The area of triangle ABC is

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

P is a point on the bisector of angle ABC .If the line through P , parallel to BA meet at Q ,prove that Delta BPQ is an isosceles triangle.

In Fig.3, the area of triangle ABC( in sq.units ) is :

In Fig. 3, the area of triangle ABC (in sq. units) is :

If triangle ABC ~ triangle DEF if DE : AB = 2 : 3 and area of triangle DEF = 44 sq.units then find the area of triangle ABC .