The vertices of a `DeltaABC` are `A(3, 0), B (0, 6) and C (6, 9)`. A straight line DE divides AB and AC in the ration 1:2 at D and E respectively, prove that `(DeltaABC)/(DeltaADE) = 9`

The vertices of a triangle ABC are A(3,0), B(0,6) and C(6,9) . A line DE divides both AB and AC in the ratio 1 : 2 meeting AB in D and AC in E . Prove that DeltaABC=9DeltaADE .

The vertices of a triangle ABC are A(3, 0), B(0, 6) and C(6, 9). A line DE divides both AB and AC in the ratio 1 : 2 meeting AB in D and AC in E. Prove that triangle ABC = 9 triangle ADE .

The vertices of a DeltaABC are A(1, 1), B(7, 3) and C(3, 6). State the slope of the altitude to AC

The vertices of a DeltaABC are A(1, 1), B(7, 3) and C(3, 6). State the slopr of the altitude to AB

The vertices of a DeltaABC are A(4,6), B(1,5) and C(7,2). A line is drawn to intersect sides AB and AC at D and E respectively, such that (AD)/(AB)=(AE)/(AC)=1/4 Calculate the area of the DeltaA DE and compare it with the area of DeltaABC

The vertices of a DeltaABCare A(4,6),B(1,5)andC(7,2). A line is drawn to intersect side AB and AC at D and E respectively, such that (AD)/(AB)=(AE)/(AC)=1/4. Calculate the area of DeltaADE and compare it with the area of DeltaABC.

A line cuts two sides AB and AC of DeltaABC at points P and Q respectively. Prove (A(DeltaAPQ))/(A(DeltaABC))=(APxxAQ)/(ABxxAC) .

The co-ordinates of the vertices of a DeltaABC are A(1, 0) , B(3, 6) and C(3, 2) . Find the length of its medians.

The co-ordinates of the vertices of a DeltaABC are A(1, 0) , B(3, 6) and C(3, 2) . Find the length of its medians.