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Question Number 61554 by ajfour last updated on 04/Jun/19

Commented by ajfour last updated on 04/Jun/19

$$Finda,b,ands.$$

Answered by MJS last updated on 04/Jun/19

$$a^2+{(b+s)}^2=25$$$${(a-s)}^2+{(b+s)}^2=16$$$$s^2+{(b+s)}^2=9$$$$\mathrm{solving}\mathrm{these}\mathrm{leads}\mathrm{to}$$$$a=\frac{\sqrt{3}}{3}\sqrt{25+2\sqrt{193}}\approx 4.19463$$$$b=\frac{\sqrt{3}}{3}(\sqrt{50-2\sqrt{193}}-\sqrt{-23+2\sqrt{193}})\approx 1.45830$$$$s=\frac{\sqrt{3}}{3}\sqrt{-23+2\sqrt{193}}\approx 1.26292$$

Commented by ajfour last updated on 04/Jun/19

$$ThanksSir,ishallcheck.$$

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