A point O is taken inside an equilateral ΔABC. If OM⊥AC, OL⊥BC and ON⊥AB such that OL = 14 cm, OM = 10 cm and ON = 6 cm, find the area of ΔABC.

A point O is taken inside an equilateral ΔABC. If OM⊥AC, OL⊥BC an

1.	A point O is taken inside an equilateral ΔABC. If OM⊥AC, OL⊥BC and ON⊥AB such that OL = 14 cm, OM = 10 cm and ON = 6 cm, find the area of ΔABC.
Answer» A point O is taken inside an equilateral $Δ A B C$ . If $O M ⊥ A C$ , $O L ⊥ B C$ and $O N ⊥ A B$ such that OL = 14 cm, OM = 10 cm and ON = 6 cm, find the area of $Δ A B C$ .