A triangular lot is 160 ft on one side and has a property line of length 850 ft. Find the area if the lot in acres.

**Solution:-**

Use the Pythagorean theorem to find the length of the other side of the lot.

base^{2} +height^{2} = hypothenuse^{2}

height =

=

Use the formula for the area of a triangle below.

A = *base*height

A = *160*835

= 66800 ft^{2}

The last step is to convert the area from square feet to acres. Remember that 1 acre 1 acre is equal to 43560 square feet.

66800 ft^{2}* acres

The area of the lot is about 1.53 acres.