Question

Two sides of a triangular field are 85m and 154m in lenght and its perimeter is 324m find the area of the field and the length of the perpendicular from the opposite vertex on the side measuring 154 m

Answer 1

Two sides of a triangle field area 85m and 154m and perimeter=324m
=85m+154m+third side=324m
=third side=324-239=85m
semiperimeter= 324/2=162m
area=√162(162-154)(162-85)(162-85)
=√162×8×77×77m⁴
=2772m²

Therefore ½×length of perpendicular×154=2772m²
length of perpendicular=2772×2/154
=36m

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