A) 7 cm
B) 9 cm
C) 11 cm
D) 16 cm
Correct Answer: B
Solution :
Let the length of the smaller line segment\[=x\,\,\text{cm}\] |
\[\therefore \]The length of larger line segment \[=(x+2)\,\,\text{cm}\] |
According to the question, |
\[{{(x+2)}^{2}}-{{x}^{2}}=32\] |
\[\Rightarrow \]\[{{x}^{2}}4x+4-{{x}^{2}}=32\] |
\[\Rightarrow \] \[4x=32-4=28\] |
\[\Rightarrow \] \[x=\frac{28}{4}=7\] |
\[\therefore \] The required length\[=x+2=7+2=9\,\,\text{cm}\] |
You need to login to perform this action.
You will be redirected in
3 sec