# Angles of a triangle

## Calculates the three angles and area of a triangle given three sides.

side a
side b
side c

angle A
 ° =
angle B
 ° =
angle C
 ° =
height h
area S

 $\normal Triangle\hspace{20} using\ Heron's\ formula\\(1)\ S=\sqrt{s(s-a)(s-b)(s-c)},\hspace{10} s={\large \frac{(a+b+c)}{2}}\\(2)\ h={\large\frac{2S}{a}}\ ,\hspace{10} B=\sin^{\small -1}{\large\frac{h}{c}}\ ,\hspace{10} C=\sin^{\small -1}{\large\frac{h}{b}}\\\vspace{5}(3)\ A=180-(B+C)\\$

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