
24,24 – 52,24 = 21, 92
S = 768
86
$$x = 10\sqrt{19}$$ $$(8x)^2 = x^2 + (10\sqrt{3})^2$$
$$64x^2 = x^2 + 100 \cdot 3$$ $$63x^2 = 300$$ $$x^2 = \frac{300}{63} = \frac{100}{21}$$ $$x = \sqrt{\frac{100}{21}} = \frac{10}{\sqrt{21}}$$ $$x = \frac{10\sqrt{21}}{21}$$
Ответ: $$x = \frac{10\sqrt{21}}{21}$$