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Please help me with 11. I do not know why I got it wrong

Please help me with 11. I do not know why I got it wrong-example-1
User Shiun
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1 Answer

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In the right triangle, there is a relation between the legs of the right angle and the hypotenuse


a^2+b^2=c^2

a and b are the legs of the right angle

c is the hypotenuse

Note that the hypotenuse is the longest side in the right triangle

Since the 3 sides are 6, 12, 13, then

6 and 12 are the legs of the right angle

13 is the hypotenuse

By using the relation above


\begin{gathered} a=6,b=12 \\ a^2+b^2=(6)^2+(12)^2 \\ a^2+b^2=36+144 \\ a^2+b^2=180 \end{gathered}
\begin{gathered} c=13 \\ c^2=169 \end{gathered}

The values of them are not equal as the relation above


a^2+b^2\\e c^2

Then 6, 12, 13 can not form sides of a right triangle

We disagree

Because the sum of the squares of the smaller sides is not equal to the square of the longest side.

User ViSa
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