COORDINATE GEOMETRY | AREA OF TRIANGLE | LECTURE (12) | KARAN SONI

Class 11 || Basic of Coordinate Geometry || IIT-JEE || Board Exams

Triangle ABC lies in the cartesian plane and has an area of 70 sq. units. The coordinates of B and C are (12,19) , and (23,20) respectively. The line containing the median to the side BC has slope -5 . Find the possible coordinates of point A.

Two vertices of a triangle are (4,-3) & (-2, 5) . If the orthocentre of the triangle is at (1,2) , find coordinates of the third vertex .

To find the area of rectangle ABCD, note that the diagonal form a (5-12-13) right triangle so the width of the rectangle is 5. Hence,Find area of triangle.:

The area of the triangle whose vertices are A ( 1,-1,2) , B ( 1,2, -1) ,C ( 3, -1, 2) is ________.

In Delta ABC, /_B = 90^@, AB = 12 cm and AC = 15 cm . D and E are points on AB and AC respectively such that /_AED = 90^@ and DE = 3 cm. Calculate the area of Delta ABC and then the area of Delta ADE.

Vertices B and C of triangle ABC lie along the line (x+2)/2=(y-1)/1=(z-0)/4 . Find the area of the triangle given that A has coordinate (1,-1,2) and the segment BC has length 5.

O' is an interior point of a parallelogram ABCD. Prove that : area of Delta AOB + " area of " Delta COD = " area of " Delta AOD + " area of " Delta BOC

The area of the triangle formed by the tangent drawn at the point (-12,5) on the circle x^(2)+y^(2)=169 with the coordinate axes is