Math, asked by sharath6655, 11 months ago

In figure angle B is less than 90 degree and ad perpendicular bc.prove that ac square is equal to ab square plus bc square minus 2bc.bd

Answers

Answered by amitnrw
16

AC² = AB²  + BC² - 2BC * BD

Step-by-step explanation:

AD ⊥ BC

Applying Pythagorean theorem

AC² = AD² + CD²

=> AC² = AD²  + (BC - BD)²

=> AC² = AD² + BC² + BD² - 2BC * BD

=> AC² = AD² + BD² + BC² - 2BC * BD

AD² + BD²  = AB²

=> AC² = AB²  + BC² - 2BC * BD

QED

Proved

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Answered by kmaneet653
2

Please mark me as brainlist and thank my all answers

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