Question

Em cada triângulo retângulo, x, y e z representam medidas em centímetros. Determine essas medidas​

Answer 1

$\large\boxed{\begin{array}{l}\sf 30^2=45\cdot x \\\sf x=\dfrac{900}{45}\\\sf x=20~cm\\\sf x+y=45\\\sf y=45-x\\\sf y=45-20\\\sf y=25~cm\\\sf z^2=45\cdot y\\\sf z^2=45\cdot25\\\sf z^2= 5\cdot9\cdot25\\\sf z=\sqrt{5\cdot9\cdot25}\\\sf z=3\cdot5\sqrt{5}\\\sf z=15\sqrt{5}~cm\end{array}}$