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

Apr 12, 2018

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

#### Explanation:

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

Apr 12, 2018

$\text{right triangle}$

#### Explanation:

$\text{using the "color(blue)"converse theorem of Pythagoras}$

$\text{If the longest side squared is equal to the sum of the}$
$\text{other 2 sides squared then triangle is right}$

$\text{longest side } = 6.5 \Rightarrow {6.5}^{2} = 42.25$

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

$\Rightarrow 3.3 , 6.5 \text{ and "5.6" are the sides of a right triangle}$