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The sides of a triangle are 3x+4y,4x+3ya...

The sides of a triangle are 3x+4y,4x+3yand 5x+5y, where `x,ygt 0`. The triangle is

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Let `a = 3x + 4y, b = 4x + 3y and c = 5x + 5y`
Obviously, c is the greatest side, hence `angle C` is the greatest angle
Thus,
`cos C= (a^(2) + b^(2) - c^(2))/(2ab)`
`= (-2xy)/(2(12 x^(2) + 25 xy + 12y^(2)) lt 0`
since `cos C lt 0, anlge C gt pi//2`. So, triangle is obtuse angled
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