A) 22 cm
B) 25 cm
C) 27cm
D) 31 cm
Correct Answer: D
Solution :
[d] \[{{a}^{2}}+{{b}^{2}}=\text{ }{{\left( 41 \right)}^{2}}\text{ }and\text{ }\frac{1}{2}\text{ }ab=180\] \[\Rightarrow {{a}^{2}}+{{b}^{2}}=1681\]and \[ab=360\] \[{{\left( \text{a}-b \right)}^{2}}={{a}^{2}}+{{b}^{2}}-\text{ 2}ab\] \[=1681-720=961\] \[\therefore \text{ }a-b=31.\]You need to login to perform this action.
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