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The@34) In ly given tig, find the value of P (1)&minup​

Answer» <html><body><p><strong>Answer:</strong></p><p>BASIC PROPORTIONALITY THEOREM (BPT) : If a line is drawn parallel to <a href="https://interviewquestions.tuteehub.com/tag/one-585732" style="font-weight:bold;" target="_blank" title="Click to know more about ONE">ONE</a> side of a triangle to intersect the other two sides in distinct <a href="https://interviewquestions.tuteehub.com/tag/points-1157347" style="font-weight:bold;" target="_blank" title="Click to know more about POINTS">POINTS</a> then the other two sides are divided in the same ratio. That is <a href="https://interviewquestions.tuteehub.com/tag/also-373387" style="font-weight:bold;" target="_blank" title="Click to know more about ALSO">ALSO</a> known as Thales theorem.</p><p></p><p>GIVEN:</p><p>In ∆ABC , DE || AB</p><p>AD= 3x+19, DC= x+3, BE= 3x+4, EC = x</p><p></p><p>AD /DC = BE/EC</p><p></p><p>[ By Thales theorem(BPT)]</p><p></p><p>3x+19/x+3 = 3x+4/x</p><p>(3x+19) × x = (3x+4) × (x+3)</p><p>3x² + 19x = 3x² + 9x + 4x +12</p><p>3x² + 19x = 3x² + <a href="https://interviewquestions.tuteehub.com/tag/13x-1786551" style="font-weight:bold;" target="_blank" title="Click to know more about 13X">13X</a> +12</p><p>3x² - 3x² +19x -13x = 12</p><p>6x = 12</p><p>x = 12/6= 2</p><p></p><p>x = 2 </p><p></p><p><a href="https://interviewquestions.tuteehub.com/tag/hence-484344" style="font-weight:bold;" target="_blank" title="Click to know more about HENCE">HENCE</a>, the value of x is 2 .</p><p></p><p>HOPE THIS WILL HELP YOU...</p><p></p></body></html>


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