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

The correct Answer is:
`1:16`
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 7.3|5 Videos
  • CIRCLES

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 4.2|13 Videos
  • CPC MODEL QUESTION PAPER -6

    CPC CAMBRIDGE PUBLICATION|Exercise QUESTION|30 Videos

Similar Questions

Explore conceptually related problems

The vertices of a Delta ABC 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 Delta ADE and compare it with area of Delta ABC

The vertices of AABC are A(4, 6), B(1, 5), and C7, 2). A line is drawn to intersect sides AB and AC at D and E respectively. Show that (AD)/(AB) = (AE)/(AC) = (1)/(4) . Find the area of Delta ADE and compare it with Delta ABC.

The vertices of a Delta ABC are A (-3,2) , B (-1,-4) and C (5,2) . If M and N are the mid - points of AB and AC respectively show that 2 MN = BC .

The vertices of a Delta ABC are A(-3,2) . B (-1,-4) and C(5,2) . If M and N are the mid-points of AB and AC res.ly. Show that 2MN = BC.

The vertices of Delta ABC are A (1, 2), B (4 ,6), and C (6, 14). AD bisects angle A and meets BC at D. Find the coordinates of D.

In DeltaABC , D and E are points on AB and AC respectively, such that DE||BC . If (AD)/(DB)=4/13 and AC = 20.4 cm, find AE.

In Delta ABC, D and E are points on side AB and AC respectively such that DE || BC and AD : DB = 3 , If EA = 3.3 cm , them find AC.

In Delta ABC , D and E are points in the sides AB and AC respectively such that DE || BC If AD = 6 cm , DB = 9 cm , and AE = 8 cm find AC.

In Delta ABC , D and E are the mid-points of AB and AC respectively, then the area of Delta ADE is :