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If A B C is an isosceles triangle wit...

If `A B C` is an isosceles triangle with `A B=A C` . Prove that the perpendiculars from the vertices `B` and `C` to their opposite sides are equal.

Text Solution

Verified by Experts

Given-`In /_ABC`
`AB=AC`
`/_B=/_C`
`In /_BEC and /_BDC`
`/_B=/_C`(given)
`/_CEB=/_BDC`(each 90)
`BC=BC`(common)
`/_BEC cong /_BOC`(AAS).
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