Home
Class 10
MATHS
The vertices of a DeltaABCare A(4,6),B(1...

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.`

Text Solution

Verified by Experts

Given, `(AD)/(AB) =(AE)/(AC)` ​
`= 1/4` ​
Thus, ...
Promotional Banner

Similar Questions

Explore conceptually related problems

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

The vertices of a A B C are A(5,5),B(1,5)a n dC(9,1) . A line is drawn to intersect side AB and AC at P and Q respectively, such that (A P)/(A B)=(A Q)/(A C)=3/4dot Find the length of the line segment PQ.

If a line intersects sides AB and AC of a Delta ABC at D and E respectively and is parallel to BC, prove that (AD)/(AB)=(AE)/(AC)

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

In /_ABC,D and E are points an the sides AB and AC repectivaly such that DEllBC. If (AD)/(DB)=(3)/(4) and AC=15cm. Find AE.

In an isosceles triangle ABC with AB=AC a circle passing through B and C intersects the sides AB and AC at D and E respectively. Prove that DE|CB.

In an isosceles triangle ABC with AB=AC , a circle passing through B and C intersects the sides AB and AC at D and E respectively.Prove that DEBC

In a Delta ABC , if DE is drawn parallel to BC, cutting AB and AC to D and E respectively such that AB=7.2 cm, AC=6.4 cm and AD=4.5 cm . Then, AE=?

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 .