# Scalene triangle Calculator

## Calculates the other elements of a scalene triangle from the selected elements.

 select elements a b c a b h (C:aute) a b h (C:obtuse) b c h (B and C:acute) b c h (B or C:obtuse) a b C a h C B C a B C h S a b (C:aute) S a b (C:obtuse) S B C S a C S h C
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\normal Scalene\ triangle\\\vspace{5}(1)\ height:\hspace{10}h=b\cdot sinC=c\cdot sinB\\(2)\ angle:\hspace{12}B=sin^{\small-1}{\large\frac{h}{c}}\ ,\hspace{20}C=sin^{\small-1}{\large\frac{h}{b}}\\(3)\ side:\hspace{25} c=\sqrt{a^2+b^2-2ab\cdot cosC}\\(4)\ area:\hspace{25}S={\large\frac{1}{2}}ah={\large\frac{1}{2}}ab\cdot sinC\\\hspace{100}={\large\frac{1}{2}}a^2{\large\frac{sinBsinC}{sin(B+C)}}\\\hspace{100}=\sqrt{s(s-a)(s-b)(s-c)}\\\vspace{2}\hspace{200}s={\large\frac{a+b+c}{2}}\\$

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