Q10 of 67 Page 168

(Exploration) Find all perfect squares from 1 to 500, each of which is a sum of two perfect squares.

We know that the integers that satisfy


A2 + B2 = C2


are called Pythagorean triplets.


So, all perfect squares from 1 to 500, each of which is a sum of two perfect squares are –


25 = 9 + 16


⇒ 52 =32+ 42


100 = 36 + 64


⇒102 =62+ 82


169 = 25 + 144


⇒132 =52+ 122


289 = 64 + 225


⇒172 =82+ 152


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