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Question-185271




Question Number 185271 by Mingma last updated on 19/Jan/23
Answered by HeferH last updated on 19/Jan/23
Commented by HeferH last updated on 19/Jan/23
((4 +x(√3))/2) + 9 = 4 + 10 − x(√3)   3x(√3) = 6   x = (2/( (√3))) ⇒ AB = AC = 14 − (2/( (√3)))∙(√3) = 12 u
$$\frac{\mathrm{4}\:+{x}\sqrt{\mathrm{3}}}{\mathrm{2}}\:+\:\mathrm{9}\:=\:\mathrm{4}\:+\:\mathrm{10}\:−\:{x}\sqrt{\mathrm{3}} \\ $$$$\:\mathrm{3}{x}\sqrt{\mathrm{3}}\:=\:\mathrm{6} \\ $$$$\:{x}\:=\:\frac{\mathrm{2}}{\:\sqrt{\mathrm{3}}}\:\Rightarrow\:{AB}\:=\:{AC}\:=\:\mathrm{14}\:−\:\frac{\mathrm{2}}{\:\sqrt{\mathrm{3}}}\centerdot\sqrt{\mathrm{3}}\:=\:\mathrm{12}\:{u}\: \\ $$

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