Posted by **TUHITUHI** on Wednesday, August 15, 2012 at 12:32pm.

ABC IS a isoceles triangle in which AB=AC 'IF AB and AC are produced to D and E respectively such that AB = CE.prove that BE =CD

- geometry -
**Steve**, Wednesday, August 15, 2012 at 2:07pm
You don't say, but seem to imply that AB=BD. That is, you haven't said anything about how far AB is extended.

It appears that DE is parallel to BC.

In triangle BCE and CBD,

BC = CB

angle BCE = angle CBE

CE = BD

So, by SAS, the triangles are congruent.

Thus, BE=CD

## Answer this Question

## Related Questions

- maths - ABC is a triangle BD & CE are altitudes drawn from the vertex B & C. ...
- math - Let P and Q be the points on the sides AB and BC of a triangle ABC ...
- math - in an isosceles triangle ABC ,AB=AC.if AB and AC are produced to D and E ...
- math - in an isosceles triangle ABC ,AB=AC.if AB and AC are produced to D and E ...
- Geometry - Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are...
- simple GEOMETRY!! - In triangle ABC, ∠ABC=30∘,∠ACB=60∘. ...
- Geometry - Please answer at least one . PLEASE 1. Triangle XYZ has a right ...
- geometry - In a triangle ABC,E and F are the mid-points of AC and AB ...
- GEOMetry(TRIANGLE) - ABC is an isosceles triangle where AB=AC and BC=60. D is a ...
- Math - In triangle ABC, points D,E,F are on sides BC,CA,AB respectively such ...

More Related Questions