Question

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.

Answer 1

Answer:

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