How do you determine whether the given lengths are sides of a right triangle 3.3, 6.5, 5.6?

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How do you determine whether the given lengths are sides of a right triangle 3.3, 6.5, 5.6?

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Answer 1 · 2018-04-12T13:20:24

${3.3}^{2} + {5.6}^{2} = {6.5}^{2}$ $3.3^2+5.6^2=6.5^2$
If this is true then it is a right triangle

Explanation:

This uses the $a^{2} + B^{2} = C^{2}$ $a^2+B^2=C^2$ with is how you can solve if a triangle is a right triangle or not.

Answer 2 · 2018-04-12T13:24:21

$right triangle$ $"right triangle"$

Explanation:

$using the converse theorem of Pythagoras$ $"using the "color(blue)"converse theorem of Pythagoras"$

$If the longest side squared is equal to the sum of the$ $"If the longest side squared is equal to the sum of the"$
$other 2 sides squared then triangle is right$ $"other 2 sides squared then triangle is right"$

$longest side = 6.5 \Rightarrow {6.5}^{2} = 42.25$ $"longest side "=6.5rArr6.5^2=42.25$

${3.3}^{2} + {5.6}^{2} = 10.89 + 31.36 = 42.25$ $3.3^2+5.6^2=10.89+31.36=42.25$

$\Rightarrow 3.3, 6.5 and 5.6 are the sides of a right triangle$ $rArr3.3,6.5" and "5.6" are the sides of a right triangle"$

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How do you determine whether the given lengths are sides of a right triangle 3.3, 6.5, 5.6?

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