from a point in the interior of an equilateral triangle, perpendicular drawn on the three sides . they are of length 10cm, 12cm and 18cm. find the area of the triangle.
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Answer: Area of triangle 300 root 3 sq.cm
∆ABC is an equilateral triangle.
Let ABC be equilateral triangle of side 'a' cm.
Let P be a point in the interior of the ∆ABC. so PQ⊥BC, PR⊥CA and PS⊥AB
So PS = 14 cm, PQ = 10 cm and PR = 6 cm
Area of ∆ABC = Area of ∆APB + Area of ∆BPC + Area of ∆CPA
Area of triangle 300 root 3 sq.cm
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