CBSE Class 10 Answered
please answer this question
Asked by mac12303190 | 06 Mar, 2010, 12:15: AM
Expert Answer
AB2 + BC2 = AC2
AB2 + b2 = AC2
A(
ABC) = x = (b)(AB)/2 = (BN)(AC)/2 ..... (1)
(b)(AB)/2 = (BN)(AC)/2
AB/AC = BN/b
Squaring both sides,
AB2/AC2 = BN2/b2
(AC2 - b2)/AC2 = BN2/b2
But AC = 2x/BN ..... (1)
Hence,
(AC2 - b2)/AC2 = BN2/b2
1 - b2/AC2 = BN2/b2
1 - b2BN2/(4x2) = BN2/b2
1 = BN2(1/b2 + b2/(4x2))
BN2 = b2(4x2)/(b4 +4x2)
= 4b2x2/(b4 +4x2)
Hence,
BN = 2bx/
(b4 + 4x2)
Regards,
Team,
TopperLearning.
Answered by | 06 Mar, 2010, 05:58: PM
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