In a triangular field having sides 30m 72m 78 m. find the length of the altitude to the side measuring 72m
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Length of the altitude to the side measuring 72m = 30 m of a triangular field having sides 30m 72m 78 m
Step-by-step explanation:
a triangular field having sides 30m 72m 78 m
s = (30 + 72 + 78)/2 = 90
Area of Triangular Field = √90 (90-30)(90-72)(90-78)
= √90 * 60 * 18 * 12
= √30 * 3 * 30 * 2 * 6 * 3 * 6 * 2
= √ ( 30 * 3 * 2 * 6)²
= 1080 m²
Area of Triangle = (1/2) * 72 * (length of the altitude to the side measuring 72m)
=> (length of the altitude to the side measuring 72m) = 1080 * 2/72
= 1080/36
= 30 m
length of the altitude to the side measuring 72m = 30 m
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