Home
Class 10
MATHS
In trapezium ABCD, AB || DC. E and F ar...

In trapezium ABCD, AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF || AB. Show that `(AE)/(ED) = (BF)/(FC)`

Text Solution

Verified by Experts

The correct Answer is:
`(AE)/(ED) = (BF)/(FC)`
Promotional Banner

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    NCERT TAMIL|Exercise DO THIS (FILL IN THE BLANKS)|4 Videos
  • SIMILAR TRIANGLES

    NCERT TAMIL|Exercise DO THIS TRUE /FALSE|5 Videos
  • SETS

    NCERT TAMIL|Exercise Try This|9 Videos
  • STATISTICS

    NCERT TAMIL|Exercise THINK AND DISCUSS|8 Videos

Similar Questions

Explore conceptually related problems

In trapezlum ABCD, AB || DC, E and F are points on non-parallel sides AD and BC respectively, such that EF || AB. Show that (AE)/(ED)=(BF)/(FC) .

In a triangle ABC, if D and E are mid points of sides AB and AC respectively. Show that vecBE+ vecDC=(3)/(2)vecBC .

In the figure, ABC is a triangle in which AB= AC. Points D and E are points on the side AB and AC respectively such that AD=AE. Show that points B, C, E and D lie on a same circle.

In Delta ABC , D and E are points on the sides AB and AC respectively such that DE||BC (i) If (AD)/(DB)=(3)/(4) and AC=15 cm find AE. (ii) If AD=8x-7, DB=5x-3, AE= 4x-3 and EC=3x - 1, find the value of x.

ABCD is a trapezium in which AB||DC and P,Q are points on AD and BC respectively, such that PQ||DC if PD=18 cm , BQ= 35 cm and QC= 15 cm, find AD.

Let A, B, and C be the vertices of a triangle. Let D, E, and F be the midpoints of the sides BC, CA, and AB respectively. Show that vec(AD)+vec(BE)+vec(CF)=vec(0) .