Home
Class 9
MATHS
The vertices of the triangle ABC are (3,...

The vertices of the triangle ABC are (3,0), B (0,6) and C (6,9). The sides `bar(AB)andbar(AC)" of "DeltaABC` are intersected by `bar(DE)` at D and E respectively into a ratio of `1:2` Prove by coordinates geometry that ``DeltaABC=9DeltaADE.`

Promotional Banner

Topper's Solved these Questions

  • AREA OF CIRCLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-3 (MCQ)|3 Videos
  • AREA OF CIRCLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-3 (Short-answer type question :)|6 Videos
  • AREA OF CIRCLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-3 (Long-answer type question :)|10 Videos
  • AREA OF TRIANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-3 (Short-answer type question :)|5 Videos

Similar Questions

Explore conceptually related problems

If the vertices A,B,C of a triangle ABC are (1,2,3),(-1,0,0) ,(0,1,2) , respectively, then find angleABC .

If the coordinates of the vertices of a triangle ABC be (3,0), (0,6)and (6,9)and if D and E respectively divide overline(AB) and overline(AC) internally in the ratio 1:2 , then show that the area of DeltaABC=9 x the area of DeltaADE .

The coordinatea of A,B and C of the DeltaABC are (3,1), (9,7) and (-3,7) respectively. If D,E and F are the mid-point of the sides bar(BC),bar(CA)andbar(AB) respectively, then find the area of the DeltaDEF. Also show that DeltaABC=4DeltaDEF.

Three vertices of triangle ABC are A (3 , 2 , -1) B ( - 1 , -1 , -1) and C ( 1, 5, 5) , if the internal bisector of angleBAC meets the opposite side overline(BC) at D , then find the coordinates of D .

D and E lie on the side AB and AC of DeltaABC such that DeltaDBC=DeltaEBC , Prove that DE || BC.

The straight line parallel to the side BC of DeltaABC intersects the sides AB and AC at the points D and E respectively. Then (AB)/(BD)=(AC)/(CE) .

The coordinates of the centroid of the triangle ABC are ( 1 , 1, 1) , if the coordinates of B and C are ( 1 , 1, 2) and ( -1 , 7 , -6) respectively , then find the coordiantes of the vertex A .

B is a vertex of the isosceles triangle ABC. D and E are the mid-points of AB and AC. If BE and CD intersects each other at F prove that DeltaBDE=3DeltaDEF .

A (2,0) B(4,4) and C (6,2) are the vetices of the triangleABC . The mid - points of bar(BC) , bar(CA) and bar(AB) are D (5,3), E(4,1) and F(3,2) respectively. Then find the length of the three medians.

The coordinates of the circumcentre of the triangle ABC are (8,3) , if the coordinates of the vertices A,B and C be (x,-9),(y-2)and(-5,3) respectively , find the values of x and y.