In AABC and APQR, ZABC = ZPQR,seg BD and seg QS are angle bisectors.If

1.	In AABC and APQR, ZABC = ZPQR,seg BD and seg QS are angle bisectors.If!(AD) _!(DC)(PS) (SR)Prove that AABC - APQR.
Answer» ANSWER: According to the problem, In triangle ABC, BD is the angle bisector Then AD/DC=AB/AC ---------(1) Similarly, in triangle QPR, QS is the angle bisector Then PS/SR=PQ/QR ----------(2) Given that AD/PS=DC/SR Substitute AD=(DC.PS)/SR On SOLVING, AB/AC=PS/SR Therefore AB/AC=PQ/SR The sides are proportional to each other. HENCE the triangle ABC~ triangle QPR.

In AABC and APQR, ZABC = ZPQR,seg BD and seg QS are angle bisectors.If!(AD) _!(DC)(PS) (SR)Prove that AABC - APQR.

Answer»

ANSWER:

According to the problem,

In triangle ABC, BD is the angle bisector

Then AD/DC=AB/AC ---------(1)

Similarly, in triangle QPR, QS is the angle bisector

Then PS/SR=PQ/QR ----------(2)

Given that AD/PS=DC/SR

Substitute AD=(DC.PS)/SR

On SOLVING, AB/AC=PS/SR

Therefore AB/AC=PQ/SR

The sides are proportional to each other. HENCE the triangle ABC~ triangle QPR.

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In AABC and APQR, ZABC = ZPQR,seg BD and seg QS are angle bisectors.If!(AD) _!(DC)(PS) (SR)Prove that AABC - APQR.​

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In AABC and APQR, ZABC = ZPQR,seg BD and seg QS are angle bisectors.If!(AD) _!(DC)(PS) (SR)Prove that AABC - APQR.