Figure 126 : s = (a + b + c)/2
Q01. Diagram
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Q02. s = (a + b + c)/2
Defintion
- Triangle ABC : a = BC, b = CA and c = AB
- s = (a + b + c)/2
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Q03. Formula using s
- 1. TR 10 06 : Area of triangle = Sqr(s*(s - a)*(s - b)*(s -c))
- 2. TR 10 05 : Sin(A) = Sqr(s*(s - a)*(s - b)*(s -c))/(2*b*c)
- 3. tan(A/2) = Sqr((s-b)*(s-c)/(s*(s-a))
- 4. cos(A/2) = Sqr(s*(s-a)/(b*c))
- 5. sin(A/2) = Sqr((s-b)*(s-c)/(b*c))
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Q04. Reference
- Trigonometry section 10
- Keywords
- See keyword half angle in terms of s
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Q05. Questions
- 1. What is Heron formula ?
- 2. Trangle ABC a = 5, b = 4 and c = 3. Find angles A, B, C
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