in triangle abc, m angle b =90 and BM is perpendicular to AC .if AB²-BC²=210 and AM -MC=7 then find ac
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if you in STD.10 so.....you can use paythagores's ch.6's 6.7. and 6.8
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Solution:- In ΔABC,
By Apollonius Theorem
=>
=> 290 = 2( 8² + BM²) [ ∵AB²+AC²=290 ....given]
=>
=> 145 = 64 + BM²
=>BM²=145-64
=>BM²= 81
=>BM=√81
=>BM= 9 cm
BC= 2BM (∵Median AM bisects BC at point M)
=2×9
=18 cm
==> Length of BC is 18 cm.
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