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Triangle ABC has the height AD and angle A = 90º. If CD = 4, and BD = \(5\), find this ratio [ACD]/[ABD].

Guest Jan 25, 2022

civonamzuk · Answer 1 · 2022-01-26T03:03:11

Triangle ABC has the height AD and angle A = 90º. If CD = 4, and BD = 5, find this ratio [ACD]/[ABD].

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AD = x

√(4²+x²) * √(5²+x²) = 9x

AD = 2√5

[ACD] / [ABD] = 4/5