Math, asked by silver1661, 1 year ago

Solve this to be the brainliest(ignore the blue pen part)

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Answered by conjureroman
0
Hey dear friend

Construction=Join AP
To Prove=AP bisects angle BAC

Taking ∆APM and ∆APN

=>AP=AP. (Common side)

=>angle AMP=angle ANP. (Both are 90°)

=>PM = PN. (given)

=>So, by SAS cong. ∆APM=~∆APN


=> So angle MAP=angle NAP. (By CPCT)

So we can conclude that line AP bisects angle BAC because angle MAP is equal to angle NAP.

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