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Why is it not possible to make a right triangle using lengths of 4 feet, 8 feet, and 10 feet? A. 4 + 8 is greater than 10.B. 10 - 8 does not equal 4.C. 4^2 + 8^2 does not equal 10^2which is the answer?A.B.C.

Sagot :

If three sides are the sides of a right triangle, then the greatest side is the hypotenuse and the lengths should satisfy the Pyhtagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

Notice that:

[tex]\begin{gathered} 4^2+8^2=16+64=80 \\ 10^2=100 \end{gathered}[/tex]

Since:

[tex]4^2+8^2\ne10^2[/tex]

Then, 4, 8 and 10 cannot be the sides of a right triangle.

Therefore, the answer is:

[tex]C[/tex]

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