Q) In right angled triangle if two legs are 2 x plus 1 and 2 x squared plus 2 x , then hypotenuse is 
A) 2 x squared space plus 2 x plus 3
B) 2 x squared plus 2 x plus 1
C) 2 x squared plus x plus 1
D) 2 x squared plus x plus 2

Asked by banerjee_milky | 23rd Jun, 2017, 02:43: PM

Expert Answer:

begin mathsize 16px style Correct space option colon space straight B
Hypotenuse equals square root of open parentheses 2 straight x plus 1 close parentheses squared plus open parentheses 2 straight x squared plus 2 straight x close parentheses squared end root
Hypotenuse equals square root of 4 straight x squared plus 4 straight x plus 1 plus 4 straight x to the power of 4 plus 8 straight x cubed plus 4 straight x squared end root
Hypotenuse equals square root of 4 straight x to the power of 4 plus 8 straight x cubed plus 8 straight x squared plus 4 straight x plus 1 end root
Hypotenuse equals square root of open parentheses 2 straight x squared plus 2 straight x plus 1 close parentheses squared end root
Hypotenuse equals 2 straight x squared plus 2 straight x plus 1
end style

Answered by Sneha shidid | 23rd Jun, 2017, 03:08: PM