SOLUTION: The perimeter of a triangular field is 240dm. It two of its sides are 78dm and 50dm,find the length of the perpendicular on the side of length 50dm from the opposite vertex.

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Question 1039143: The perimeter of a triangular field is 240dm. It two of its sides are 78dm and 50dm,find the length of the perpendicular on the side of length 50dm from the opposite vertex.
Answer by ikleyn(52858) About Me  (Show Source):
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The perimeter of a triangular field is 240dm. It two of its sides are 78dm and 50dm,
find the length of the perpendicular on the side of length 50dm from the opposite vertex.
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First find the third side dimension from the given perimeter and two other sides.

Next find the area of the triangle based on its three side lengths using the Heron's formula.

Then find the unknown altitude of the triangle via its area.

    - Proof of the Heron's formula for the area of a triangle,
    - One more proof of the Heron's formula for the area of a triangle,