Question-208049

Question Number 208049 by mr W last updated on 03/Jun/24

Commented by Frix last updated on 03/Jun/24

a = 1 \land b = 3

r = a + b - \sqrt{a^{2} + b^{2}} = 4 - \sqrt{10}

Answered by mr W last updated on 03/Jun/24

Commented by mr W last updated on 03/Jun/24

A B = c = \sqrt{a^{2} + b^{2}}

R = \frac{c}{2} = \frac{\sqrt{a^{2} + b^{2}}}{2}

{(r - \frac{a}{2})}^{2} + {(r - \frac{b}{2})}^{2} = {(R - r)}^{2}

r - (a + b - 2 R) = 0

\Rightarrow r = a + b - \sqrt{a^{2} + b^{2}}

Commented by Tawa11 last updated on 21/Jun/24

weldone sir

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