For a triangle with sides 8, 10, 6, what is the semiperimeter used in Heron's formula?

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Prepare for the JH Academic Bowl Test with flashcards and multiple choice questions, including hints and explanations. Elevate your confidence ahead of the exam!

Multiple Choice

For a triangle with sides 8, 10, 6, what is the semiperimeter used in Heron's formula?

In Heron's formula, s is the semiperimeter, which is half of the triangle’s perimeter. Add the sides: 8 + 10 + 6 = 24. Half of that is 24 ÷ 2 = 12, so the semiperimeter is 12. This value is used inside the square root in the formula, as in sqrt[s(s−a)(s−b)(s−c)]. For these sides, that would be sqrt(12·4·2·6) = sqrt(576) = 24, confirming the calculation is consistent.

For a triangle with sides 8, 10, 6, what is the semiperimeter used in Heron's formula?

Prepare for the JH Academic Bowl Test with flashcards and multiple choice questions, including hints and explanations. Elevate your confidence ahead of the exam!

For a triangle with sides 8, 10, 6, what is the semiperimeter used in Heron's formula?

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