Casey W. answered • 05/11/15
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Mathematics (and Science) Instruction by a Mathematician!
note that c>a>b...since a+b>c a triangle can be formed.
Heron's formula says we can calculate area using something called the semi-perimeter, s=(a+b+c)/2
in this case the semi-perimeter is 702/2=351
Heron's formula says Area=sqrt{s(s-a)(s-b)(s-c)}...thus we need to calculate
sqrt(351*111*179*21) and choose from the multiple options given.
Ciara R.
If the sum of the other 2 sides (without longest side) is not longer than the longest side then it can not form a triangle: a + b > c; 240 + 127 > 281 367 > 281 Hence, lengths a, b and c can form a triangle. Heron's formula to find the area of the triangle.(s = a+b+c 2 = 240+127+281 2 = 324 − half of the triangles perimeter ): A = √s(s − a)(s − b)(s − c) = √324 ∙ (324 − 240)(324 − 127)(324 − 281) = = 15183.8 Answer: lengths a, b and c can form a triangle, area of the triangle is equal to 15183.8
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Ashley S.
05/12/15