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In an isosceles triangle ABC with A B =...

In an isosceles triangle ABC with `A B = A C`, D and E are points on BCsuch that `B E = C D`(see Fig. 7.29). Show that `A D= A E`

Text Solution

Verified by Experts

In `triangleABE` and in`triangleACD`
`AB=AC`
`angleB=angleC`
`BE=CD` (BY SAS RULE)
`ΔABE≡ΔACD` (BY CPCT)
`AE=AD`
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