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Find The Length Of 3rd Side Of The Triangle (Important)

Sujoy Das

06/02/2018 2 0

Question:

Solution:

(2a)^2 + b^2 = 18^2
4a^2+b^2 = 324
(2b)^2+a^2 = 24^2
4b^2+a^2 = 576

a^2+b^2 = 900/5 = 180
a^2 = 48 b^2 = 132

Now,

48^2 + x^2 = 2*{(3b)^2 + 18^2)
x^2 = 2*(9b^2+324)-48*48
x^2 = 2*(9*132+324)-2304
x^2 = 720
x = 12root5.

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