CBSE Class 9 Answered
In an isoceles triangle ABC with AB=AC, D and Eare points on BC such that BE=CD.Show that AD=AE.
Asked by 2806rahul | 16 Sep, 2009, 04:55: PM
Expert Answer
Consider the triangle ΔABC, points D and E can be put on side BC in two ways.
Let's say we put E close to B and D close to C,
then the triangles ABE and triangle ACD are SAS congruent,
since AB = AC........given,
B = C......angles opposite to equal sides,
and BE = CD ... given,
Hence AD = AE.
Now let's put E close to C and D close to B,
then in triangle ABD and ACE are SAS congruent,
since AB = AC........given,
B = C......angles opposite to equal sides,
And BD = CE, as shown below,
BE = CD
BE - DE = CD - DE
BD = CE,
Hence AD = AE.
Regards,
Team,
TopperLearning.
Answered by | 30 Sep, 2009, 09:34: PM
Application Videos
Concept Videos
CBSE 9 - Maths
Asked by borakartike2 | 29 Dec, 2023, 09:21: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by ghodage | 12 Dec, 2023, 07:23: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by vijaykasaudhan913 | 10 Dec, 2023, 04:40: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by aksharapatni | 30 Nov, 2023, 01:12: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by rajetigirija | 19 Nov, 2023, 08:11: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Krishna962511 | 23 Jan, 2023, 10:41: AM
ANSWERED BY EXPERT