Math, asked by vandanasuman, 7 months ago

50. ABC and DBC are two isosceles triangles on the same base BC on opposite sides of BC Show that
√ABD =√ACD

Answers

Answered by Chandralega
1

Answer:

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Answered by rakhinegi49135
0

To Show :

∆ABD ≅ ∆ACD.

∆ABP ≅ △ACP

AP bisects ∠A as well as ∠D

AP is perpendicular bisector of BC .

Proof :

In △ABD AND △ACD

AB = AC [ GIVEN]

AD = AD [ COMMON ]

BD = CD [ GIVEN ]

Therefore, ∆ABD ≅ ∆ACD.[SSS]

2. In △ABP and △ ACP

AB = AC [ GIVEN ]

∠BAP = ∠CAP [ C.P.C.T ]

AP = AP [ COMMON ]

Therefore , △ABP ≅ △ACP [ SAS ]

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