In ∆ ABC, m ∠ABC = 90°, seg BN perpendicular seg AC, AN = 9, NC = 16 then find BN.
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Step-by-step explanation:
AB^2 = BN^2 + 9^2
BC^2 = BN^2 + 16^2
AB^2 + BC^2 = 2 BN^2 + 9^2 + 16^2
Or, AC^2 = 2 BN^2 + 337
Or, 25^2 = 2 BN^2 + 337
Or, BN^2 = 144
Thus, BN = 12
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