Math, asked by roshanmishra7875, 1 year ago

A right angled triangle has hypotenuse of length q cm and one side is p cm express the length of third side in terms if q

Answers

Answered by abhi569
34
 \textbf{ By Pythagoras Theorem}



Hypotenuse² = ( I side )² + ( II side )²



=> ( q )² = ( p )² + ( II side )²


=> q² - p² = ( II side )²


 \mathbf{ \sqrt{ {q}^{2} - {p}^{2} } = II \: side}







 \mathbf{ Length \: \: of \: \: R emaining \: \: side \: \: is \: \: \sqrt{q^{2}-p^{2}} \: cm}
Answered by TeenTitansGo
33
Given ∆ is a right angled - triangle,
Hence, By Pythagoras Theorem,



Hypotenuse = q cm
One side = p cm
Second side = ?



Applying Pythagoras Theorem,

Hypotenuse² = base² + height²

q² = p² + height²

q² - p² = height²


 \sqrt{ {q}^{2} -  {p}^{2}  }  = height




Third side is √[ q²- p² ] cm



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