Question

please solve this question it's very important to me
I will mark it as brainliest​

Answer 1

$\sf{\large{\underline{\boxed{\pink{\mathsf{♡ ANSWER ♡}}}}}}$

$\Green{\large\underline{\underline\mathtt{Given:}}}$ AD is the altitude, DB:CD = 3:1.

$\red{\large\underline{\underline\mathtt{RTP :-}}}$

$bc {}^{2} = 2(ab {}^{2} - ac {}^{2} )$

$\sf{\underline{\boxed{\purple{\large{\bold{ SOLUTION}}}}}}$⠀⠀

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In triangle ADB,

$ad {}^{2} = ab {}^{2} - bd {}^{2}$

In triangle ADC,

$ad {}^{2} = ac {}^{2} - cd {}^{2}$

From the above two equations,

$ab { }^{2} - bd {}^{2} = ac {}^{2} - cd {}^{2}$

$= > ab { }^{2} - ac {}^{2} = bd {}^{2} - cd {}^{2}$

$= > (3 \div 4) {}^{2} bc {}^{2} - (1 \div 4)bc {}^{2}$

$= 1 \div 2bc {}^{2}$

HENCE,${\boxed{2(AB^2 - AC^2 ) = BC ^2}}$

$\sf{\large{\underline{\boxed{\pink{\mathsf{♡ Thanks :)♡}}}}}}$

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