From a point in the interior of an equilateral triangle,perpendiculars are drawn on three sides The length of perpendiculars are - Maths - Triangles

Question

From a point in the interior of an equilateral
triangle,perpendiculars are drawn on three sides The length of
perpendiculars are 14 cm,10 cm and 6 cm Find the area of the
triangle

Ayush Jha · Accepted Answer

Here is the solution to your question-

âˆ†ABC is an equilateral triangle Let the side of the equilateral âˆ†ABC be a cm P is a point in the interior of the âˆ†ABC PQâŠ¥BC, PRâŠ¥CA and PSâŠ¥AB Let PS = 14 cm, PQ = 10 cm and PR = 6 cm Area of âˆ†ABC = Area of âˆ†APB + Area of âˆ†BPC + Area of âˆ†CPA

From a point in the interior of an equilateral triangle,perpendiculars are drawn on three sides.The length of perpendiculars are 14 cm,10 cm and 6 cm.Find the area of the triangle.