A triangle ABC is formed by the points A(2, 3), B(-2, -3), C(4, -3). What is the point of intersection of the side BC and the bisector of angle A?

Do the points (3, 2), (-2, -3) and (2, 3) form a triangle?

Find the area of a triangle formed by the points A(5, 2), B(4, 7) and C(7, -4).

Find the area of the triangle formed by points (3, 4, (2-1), and (4,-6).

Find the area of the triangle formed by the points (2, 3), (6, 3) and (2, 6) by using Heron’s formula

In a triangle ABC with vertices A(2,3) , B (4,-1) and C (1,2) . Find the length of the altitude from the vertex A .

The points A(1,1),B(3,2) and C(5,3) cannot be the vertices of the triangle ABD . Justify.

Let A(-1, 0), B(0, 0) and C(3, 3sqrt(3)) be three points. Then the bisector of angle ABC is :

The hypotenuse of a right angled triangle has its ends at the points (1, 3) " and " (-4, 1) . Find an equation of the legs (perpendicular sides) of the triangle.

Prove that the points A(1,-3),B(-3,0)and C(4,1) are the vertices of a right isosceles triangle .

If 4hati+ 7hatj+ 8hatk, 2hati+ 3hatj+ 4hatk and 2hati+ 5hatj+7hatk are the position vectors of the vertices A, B and C, respectively, of triangle ABC, then the position vector of the point where the bisector of angle A meets BC is