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Mathematics 22 Online
OpenStudy (anonymous):

A triangle has side lengths of 24in., 32in., and 40in. Is the triangle acute, obtuse, or right?

Parth (parthkohli):

In general, if \(c\) is the largest side and \(a,b\) are the other two,\[a^2 + b^2 < c^2 \Rightarrow \rm obtuse\]\[a^2 + b^2 = c^2 \Rightarrow \rm right\]\[a^2 + b^2 > c^2\Rightarrow \rm acute\]

OpenStudy (anonymous):

all of those are the same formulas, so how do i know what its going to be?

Parth (parthkohli):

Check which one is true.

Parth (parthkohli):

What is \(40^2\) and what is \(24^2 + 32^2\)?

OpenStudy (anonymous):

i dont undertand how im suppose to know what the traingle is.

OpenStudy (anonymous):

1600 and 1600

Parth (parthkohli):

If the (biggest side)^2 is equal to the (sum of the second biggest side)^2 + (sum of the smallest)^2, then it is a right triangle. This is also called the Pythagorean Theorem.

OpenStudy (anonymous):

oh ok. Thanks so much!

Parth (parthkohli):

no worry, I hope you got it!

Parth (parthkohli):

And those are not the same formulas.

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