Solve {l}{(z-x)^{2}+y^{2}=25^{2}}{x^{2}+y^{2}=14^2}{x^2+(z-y)^2=z^2}

Solve for z, x, y

x=-\frac{532\sqrt{1493}}{1493}\approx -13.76834464\text{, }y=-\frac{98\sqrt{1493}}{1493}\approx -2.536274013\text{, }z=-\sqrt{1493}\approx -38.639358173

x=-\frac{140\sqrt{149}}{149}\approx -11.469246887\text{, }y=\frac{98\sqrt{149}}{149}\approx 8.028472821\text{, }z=\sqrt{149}\approx 12.206555616

x=\frac{140\sqrt{149}}{149}\approx 11.469246887\text{, }y=-\frac{98\sqrt{149}}{149}\approx -8.028472821\text{, }z=-\sqrt{149}\approx -12.206555616

x=\frac{532\sqrt{1493}}{1493}\approx 13.76834464\text{, }y=\frac{98\sqrt{1493}}{1493}\approx 2.536274013\text{, }z=\sqrt{1493}\approx 38.639358173

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Algebra

5 problems similar to:

\left. \begin{array} { l } { ( z - x ) ^ { 2 } + y ^ { 2 } = 25 ^ { 2 } } \\ { x ^ { 2 } + y ^ { 2 } = 14 ^ { 2 } } \\ { x ^ { 2 } + ( z - y ) ^ { 2 } = z ^ { 2 } } \end{array} \right.

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