# Find the perimeter..... Can you??

Level pending

$$\triangle ABC$$ is an acute angled triangle.$$AD \perp BC, BE \perp AC, CF \perp AB$$ and the altitudes are concurrent at $$H$$, the orthocenter . $$D$$ is on BC , $$E$$ on $$AC$$ and $$F$$ on $$AB$$. $$BX \perp DF$$ and $$CY \perp DE$$. They meet at $$G$$. If $$HD = 2.4 cm$$ , $$BC = 5\sqrt{3}$$ and $$\angle A = 60^{\circ}$$, find the perimeter of $$\triangle AGH$$

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