Question

Determine o valor de X, Y, Z e W no triângulo retângulo abaixo:

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Answer 1

$\Large\boxed{\begin{array}{l}\sf x=50-18=32\\\sf y^2=18\cdot 32\\\sf y^2=2\cdot9\cdot2\cdot16\\\sf y^2=4\cdot9\cdot16\\\sf y=\sqrt{4\cdot9\cdot16}\\\sf y=2\cdot3\cdot4=24\\\sf n^2=50\cdot18\\\sf n^2=2\cdot25\cdot2\cdot9\\\sf n^2=4\cdot25\cdot9\\\sf n=\sqrt{4\cdot25\cdot9}\\\sf n=2\cdot5\cdot3\\\sf n=30\\\sf z^2=50\cdot32\\\sf z^2=2\cdot25\cdot2\cdot16\\\sf z^2=4\cdot25\cdot 16\\\sf z=\sqrt{4\cdot25\cdot16}\\\sf z=2\cdot5\cdot4\\\sf z=40\end{array}}$