CHAPTER 2 KEY FORMULAS EQUATIONS

Line segments	Fig. 2.8	$\frac{a}{b} = \frac{c}{d}$ (2.1)
Triangle		$A = \frac{1}{2} b h$ (2.2)
Hero’s formula		$\begin{matrix} A = \sqrt{s (s - a) (s - b) (s - c)}, \\ where s = \frac{1}{2} (a + b + c) \end{matrix}$ (2.3)
Pythagorean theorem	Fig. 2.34	$c^{2} = a^{2} + b^{2}$ (2.4)
Square	Fig. 2.55	$A = s^{2}$ (2.5)
Rectangle	Fig. 2.56	$A = l w$ (2.6)
Parallelogram	Fig. 2.57	$A = b h$ (2.7)
Trapezoid	Fig. 2.58	$A = \frac{1}{2} h (b_{1} + b_{2})$ (2.8)
Circle		$c = 2 π r$ (2.9)
		$A = π r^{2}$ (2.10)
Radians	Fig. 2.84	$π rad = 180 °$ (2.11)
Trapezoidal rule	Fig. 2.98	$A = \frac{h}{2} (y_{0} + 2 y_{1} + 2 y_{2} + \dots + 2 y_{n - 1} + y_{n})$ (2.12)
Simpson’s rule	Fig. 2.102	$A = \frac{h}{3} (y_{0} + 4 y_{1} + 2 y_{2} + 4 y_{3} + \dots + 2 y_{n - 2} + 4 y_{n - 1} + y_{n})$ (2.13)
Rectangular solid	Fig. 2.112	$V = l w h$ (2.14)
		$A = 2 l w + 2 l h + 2 w h$ (2.15)
Cube	Fig. 2.113	$V = e^{3}$ (2.16)

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Basic Technical Mathematics, 11th Edition by Allyn J. Washington, Richard Evans