prove-in-right-triangle-a-2-b-2-c-2-

Question Number 179228 by mahdipoor last updated on 26/Oct/22

p r o v e i n r i g h t t r i a n g l e : a^{2} + b^{2} = c^{2}

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Answered by a.lgnaoui last updated on 27/Oct/22

A i r e (S) d u t r a p e z e [ADEB]

S = a b + \frac{c^{2}}{2} = \frac{1}{2} {(a + b)}^{2}

\frac{c^{2}}{2} = \frac{1}{2} (a^{2} + b^{2}) \Rightarrow c^{2} = a^{2} + b^{2}

Commented by a.lgnaoui last updated on 27/Oct/22

Commented by a.lgnaoui last updated on 27/Oct/22

t h i s i s a s i m p l e m e t h o d e t o

p r o v e t h e v a l u e o f (c) f o r

a r i g h t t r i a n g l e (∡ C A B = 90 °)