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Sunday, November 20, 2011

Angelo's Textbook Question 2.4

31(b). The are of triangle can be determined using Heron's formula, which requires the side length of triangle. Heron's formula is A= √s(s-a)(s-b)(s-c). In the formula A is the area ; a,b, an c are the side lengths; and s is half the perimeter of a+b+c/2. Determine the area of each triangle with the following side lengths. Express each area to the nearest tenth of a square centimetre.

First do a+b+c/2
b. 9.3+11.4+7.5
= 14.1
s=14.1
Next is, do Heron's Formula
s(s-a)(s-b)(s-c)
√14.1(14.1-9.3)(14.1-11.4)(14.1-7.5)
=34.7

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