A) 5 cm, 4 cm and 03 cm
B) 8 cm, 6 cm and 11 cm
C) 1 cm, \[2.4\]cm and \[2.6\] cm
D) 60 cm, 25 cm and 65 cm
Correct Answer: B
Solution :
(b): It is easy to mentally calculate the combinations \[{{a}^{2}}+{{b}^{2}}={{c}^{2}}\] ('p' y thagoras theorem) which is applicable in a right \[\Delta \] i.e., In (a), it is easily can, \[{{3}^{2}}+{{4}^{2}}={{5}^{2}}\]; In (c) \[{{1}^{2}}+{{2.4}^{2}}={{2.6}^{2}};\] In (d), \[{{65}^{2}}={{60}^{2}}+{{25}^{2}}\]. However, to arrive at the same result, we can also apply a different method mathematically; \[{{65}^{2}}={{(60+5)}^{2}}={{60}^{2}}+2\times 60\times 5+{{5}^{2}}\] \[={{60}^{2}}\times 600+25\] \[={{60}^{2}}+25\] Mind of a mathematician: A maths students tries to solve some problem in different ways, at least during practice.
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