Answered

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A triangle has side lengths of 5,6 and 8. Is it a right triangle?Explain why or why not?

Sagot :

ANSWER

Not a right triangle

EXPLANATION

In a right triangle, the hypotenuse is always the longest side. If these are the side lengths of a right triangle, the sides would be,

The Pythagorean theorem must be true for any right triangle,

[tex]8^2=5^2+6^2[/tex]

Let's see if it is indeed true,

[tex]64=25+36[/tex][tex]64=61\to not.true[/tex]

If the Pytagorean theorem is nort true, then this is not a right triangle

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