Rational Because it can be simply as 3/1
Answer:
explain
Step-by-step explanation:
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Given data:
The first side of the triangle is p=13 inches.
The second side of the triangle is q=18 inches.
The third side of the triangle is r= 12 inches.
The semi-perimeter is,

The expression for the area of the triangle is,
![\begin{gathered} A=\sqrt[]{s(s-p)(s-q)(s-r)_{}} \\ =\sqrt[]{21.5\text{ in(21.5 in-13 in)(21.5 in-18 in)(21.5 in-12 in)}} \\ =\sqrt[]{(21.5\text{ in)(8.5 in)(3.5 in)(9.5 in)}} \\ =77.95in^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Csqrt%5B%5D%7Bs%28s-p%29%28s-q%29%28s-r%29_%7B%7D%7D%20%5C%5C%20%3D%5Csqrt%5B%5D%7B21.5%5Ctext%7B%20in%2821.5%20in-13%20in%29%2821.5%20in-18%20in%29%2821.5%20in-12%20in%29%7D%7D%20%5C%5C%20%3D%5Csqrt%5B%5D%7B%2821.5%5Ctext%7B%20in%29%288.5%20in%29%283.5%20in%29%289.5%20in%29%7D%7D%20%5C%5C%20%3D77.95in%5E2%20%5Cend%7Bgathered%7D)
Thus, the area of the given triangle is 77.95 sq-inches.