Question-27959

Question Number 27959 by ajfour last updated on 17/Jan/18

Commented by ajfour last updated on 17/Jan/18

You can't use 'macro parameter character #' in math mode

Commented by beh.i83417@gmail.com last updated on 17/Jan/18

\frac{r}{a / 2} = \frac{A x}{x C} \Rightarrow \frac{2 r}{a} = \frac{A x}{x C} \Rightarrow \frac{2 r + a}{a} = \frac{b}{C x}

c o s C = \frac{a / 2}{x C} \Rightarrow x C = \frac{a}{2 c o s C}

\Rightarrow 2 r / a + 1 = \frac{b}{\frac{a}{2 c o s C}} = \frac{2 b c o s C}{a} \Rightarrow

2 r + a = 2 b c o s C \Rightarrow r = \frac{1}{2} (2 b c o s C - a)

1) a^{2} = b^{2} + c^{2} - b c

2) c o s C = \frac{a^{2} + b^{2} - c^{2}}{2 b c} = \frac{b^{2} + c^{2} - b c + b^{2} - c^{2}}{2 b c} =

= \frac{2 b^{2} - b c}{2 b c}

\Rightarrow r = \frac{1}{2} (2 b . \frac{2 b^{2} - b c}{2 b c} - a) = \frac{2 b^{2} - b c - a c}{2 c}

\Rightarrow r = \frac{b^{2}}{c} - \frac{a + b}{2} .

Commented by ajfour last updated on 17/Jan/18

S i r, w h a t d o e s A x, x C, . . m e a n ?

Commented by beh.i83417@gmail.com last updated on 17/Jan/18

x, i s t h e i n t e r s e c t i o n o f A C w i t h

p e r p e n d i c u l a r l i n e d r a w n f r o m m i d p o i n t

o f B C .

Commented by beh.i83417@gmail.com last updated on 18/Jan/18

You can't use 'macro parameter character #' in math mode

Commented by ajfour last updated on 18/Jan/18

t h a n k y o u s i r .

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