# If π + π + π = 9 and ππ + ππ + ππ = 26, find π2 + π2 + π2.

Given that: a + b + c = 9 and ππ + ππ + ππ = 26

Using the identity (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca, we have(9)2 = a2 + b2 + c2 + 2(ab + bc + ca)

βΉ 81 = a2 + b2 + c2 + 2(26)

βΉ 81 = a2 + b2 + c2 + 52

βΉ 81 β 52 = a2 + b2 + c2

βΉ a2 + b2 + c2= 29

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