Let a, b, and a b denote the three edges of a triangle with lengths a, b, and c, respectively Use Lagrange 's Identity together with 2a b a 2 b 2 a b 2 to prove Heron 's Formula for the area A of a triangle, where s is the semiperimeter (a b c) 2 A Vs(s a)(s b)(s c)...

Let a, b, and a - b denote the three edges of a triangle with lengths a,

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Let a, b, and a - b denote the three edges of a triangle with lengths a, b, and c, respectively. Use Lagrange's Identity together with 2a ˆ™ b = ||a||2 + ||b||2 - ||a - b||2 to prove Heron's Formula for the area A of a triangle,

where s is the semiperimeter (a + b + c)/2.

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Question Posted: Jun 21, 2016 10:58 AM

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Let a, b, and a - b denote the three edges of a triangle with lengths a,

Question:

A = Vs(s – a)(s - b)(s - c)

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The area of the triangle ...View the full answer

Calculus

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