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If a triangle has sides of lengths 5, 8 and 12, it is a right triangle. true or false

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6 votes

Answer:

False.

Explanation:

To see if these sides can form a right triangle, all we need to do is see if the following equation holds
a^2+b^2=c^2 where
c is the larger measurement.
a \text{ and } b it doesn't really matter which you assign as 5 or 8.

So I'm choosing the following
a=5,b=8,c=12.


c has to be 12 because 12 is the largest.

Now we got to see if
a^2+b^2=c^2 holds.

That is, we need to see if
5^2+8^2=12^2 holds.


5^2+8^2=12^2


25+64=144


89=144

That's totally false. 89 is definitely not 144 so 5,8, and 12 cannot be put together to form a right triangle.

User Wiles Duan
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