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Please help im no good at math especially not this math

Please help im no good at math especially not this math-example-1
User JustLudo
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Could you elaborate on the details?

User Ajil Mohan
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\bigtriangleup ABD \cong \bigtriangleup BCD\Rightarrow (CD)/(BD) = (BD)/(AD) \Leftrightarrow CD = x = \frac{ {BD}^(2) }{AD} = \frac{ {8}^(2) }{15} = (64)/(15) \\ BC =y = \sqrt{ {BD}^(2) + {CD}^(2) } = \sqrt{ { {8}^(2) +(64)/(15) }^(2) } = (136)/(15) \\ \Rightarrow x = (64)/(15) , \: y = (136)/(15)

User DedObed
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