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Find the area of the triangle below.Be sure to include the correct unit in your answer.15ft 6f 21ft

Question

Find the area of the triangle below.Be sure to include the correct unit in your answer.15ft 6f 21ft

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Solution

The given values seem to be the sides of a triangle. To find the area of a triangle using the lengths of the sides, we can use Heron's formula.

Heron's formula for the area of a triangle with sides of length a, b, and c is:

Area = sqrt[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, given by:

s = (a + b + c) / 2

In this case, a = 15ft, b = 6ft, and c = 21ft.

First, let's find the semi-perimeter:

s = (15ft + 6ft + 21ft) / 2 = 21ft

Then, we can substitute a, b, c, and s into Heron's formula:

Area = sqrt[21ft(21ft - 15ft)(21ft - 6ft)(21ft - 21ft)] Area = sqrt[21ft * 6ft * 15ft * 0ft] Area = sqrt[0] Area = 0 square feet

So, the area of the triangle is 0 square feet. This suggests that the given lengths cannot form a triangle, as a triangle with an area of 0 is essentially a straight line.

This problem has been solved

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