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determine whether the lengths can form a triangle. If so, use the converse of the Pythagorean theorem to determine if the triangle is acute, obtuse, or right.

determine whether the lengths can form a triangle. If so, use the converse of the-example-1

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PythagorasSolution

To determine if this will give a Pythagoras Theorem or not

we have to test using pythagora's theorem.


\begin{gathered} (Hyp)^2=(opp)^2+(Adj)^2 \\ \text{Let the Hyp = 91, Opp = 46, Adj = 44} \\ (Hyp)^2=(opp)^2+(Adj)^2 \\ 91^2=46^2+44^2 \\ 8281\text{ = 2116 + 1936} \\ 8281\text{ }\\e\text{ 4052} \\ As\text{ we can s}ee\text{ that} \\ 91^2\\e46^2+44^2 \\ \text{Hence this can't form the length of a triangle} \end{gathered}

This is not a right-angle triangle.

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