1.

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?(I understand most of the steps, but get confused on some... please help!!)

Answer»

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



\rightarrow \sqrt{p + q} \: \: cm \: \: \: = remaining \: side


Discussion

No Comment Found

Related InterviewSolutions