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A triangular parcel of land has side lengths of 100, 580, and 600 feet. Approximate the area of the land. Round your answer to the nearest foot.

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Answer:

28800 square feet

Explanation:

We solve this using the Heron's formula

Area of a Triangle = √s(s - a)(s - b)(s - c)

s = a + b + c/2

s = 100 + 580 + 600/2 = 640

Area of the land(Triangle) = √640 × (640 - 100)(640 - 580)(640 - 600)

= √640 × (540) ×( 60) × (40)

= √(829440000)

= 28800 square feet

Therefore, the approximate the area of the land is 28800 square feet.

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