A right-angled triangle has a hypotenuse of length p cm and one other side of length q cm. If p and q differ by 1, then the length of the remaining side, in centimetres, is
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another side 1 cm will be the answer
speedoaustralia:
thats wrong because we dont know the values of "p" and "q"
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Hypotenuse = p cm
Other side = q cm
Given, q + 1 = p
We know, hypotenuse² = height² + base²
=> ( p )² = ( q )² + ( base )²
=> ( q + 1 )² = q² + base²
=> q² + 1 + 2q = q² + base²
=> 1 + 2q = base²
=> 1 + q + q = base²
=> p + q = base² or remaining side²
=> √ ( p + q ) = remaining side
Other side = q cm
Given, q + 1 = p
We know, hypotenuse² = height² + base²
=> ( p )² = ( q )² + ( base )²
=> ( q + 1 )² = q² + base²
=> q² + 1 + 2q = q² + base²
=> 1 + 2q = base²
=> 1 + q + q = base²
=> p + q = base² or remaining side²
=> √ ( p + q ) = remaining side
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