SOLUTION: The lengths of the sides of a non-right triangle are 17 inches, 9 inches, and 12 inches. Find the area of the triangle. Round to the nearest tenth. my answer is 17 * 9 + 12 = 165

Algebra ->  Formulas -> SOLUTION: The lengths of the sides of a non-right triangle are 17 inches, 9 inches, and 12 inches. Find the area of the triangle. Round to the nearest tenth. my answer is 17 * 9 + 12 = 165       Log On


   



Question 132707This question is from textbook Fundamentals of Algebric Modeling
: The lengths of the sides of a non-right triangle are 17 inches, 9 inches, and 12 inches. Find the area of the triangle. Round to the nearest tenth.
my answer is 17 * 9 + 12 = 165 / 3 = 55
This question is from textbook Fundamentals of Algebric Modeling

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The lengths of the sides of a non-right triangle are 17 inches, 9 inches, and 12 inches. Find the area of the triangle. Round to the nearest tenth.
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Use Hero's formula:
Area = sqrt[s(s-a)(s-b)(s-c)] where s = (a+b+c+)/2
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Problem:
s = (17+9+12)/2 = 19
Area = sqrt[19*(19-17)(19-9)(19-12)]
Area = sqrt[19*2*10*7]
Area = sqrt(2660)
Area = 51.6 sq. inches
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Cheers,
Stan H.