A) 7 cm
B) 9 cm
C) 11 cm
D) 16 cm
Correct Answer: B
Solution :
(b): Let the length of the smaller line segment = x cm. The length of larger line segment \[=\left( x+3 \right)\] cm. According to the question, \[{{(x+3)}^{2}}-{{x}^{2}}=51\] \[\Rightarrow \]\[{{x}^{2}}+6x-9-{{x}^{2}}=51\] \[\Rightarrow \]\[6x=51-9=42\] \[\Rightarrow \] \[x=\frac{42}{6}=7\] The required length \[=x+2=7+2=9\]cm.You need to login to perform this action.
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