A triangular parcel of land has sides of lengths 650,760 and 450 feet. Approximate the area of the land. Round answer to nearest foot.

145769 ft²

Step-by-step explanation:

This involves the use of Heron's formula to find the area of the triangle, given the side lengths. We will need to find the semi-perimeter of the triangle, which is half of the full perimeter.

s = semi-perimeter

s = (650+760+450) / 2

s = 1860/2

s = 930

Now, using this we put it into Heron's formula to find the area.

A = √ ((930) (930-650) (930-760) (930-450))

A = √ (930 (280) (170) (480))

A = √21248640000

A = 145769.1325

A = 145769

The area of the parcel is 145769 ft²