Question

Can someone help me out

Answer 1

Answer: LAST OPTION.

Explanation:

The Pythagorean Theorem states the following relationship between the three sides of a triangle that has an angle of 90 degrees, known as "Right triangle":

`a^2=b^2+c^2`

Where "a"is the hypotenuse and "b" and "c" are the legs of the right triangle.

If the triangle ABC is a right triangle then AB must be equal to
`BC^2+AC^2`, then, you need to substitute the values into
`a^2=b^2+c^2` to check this:

`12^2=5^2+10^2\\144\\eq 125`

Then the triangle ABC is not a right triangle.

Therefore, the statement that justifies why this triangle is not a right triangle is:

`5^2+10^2\\eq 12^2`