Let $a,b,c$ be the sides of a triangle such that \(a+b-2\sqrt{a-5}-4\sqrt{b-4}=3\sqrt{c-3}-\f

Question

Let $a,b,c$ be the sides of a triangle such that $a+b-2\sqrt{a-5}-4\sqrt{b-4}=3\sqrt{c-3}-\frac{1}{2}c+1$. Justify with clear reasons, the type of the triangle.

Accepted Answer

$a = 6$, $b = 8$, $c = 12$; obtuse-angled triangle

IP1U13 SWII (Pythagoras) Q23

IP1U13 SWII (Pythagoras) Q23

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