Question

Can someone help me out

Answer 1

Answer: LAST OPTION.

Step-by-step 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:

$12^2=5^2+10^2\\144\neq 125$

Then the triangle ABC is not a right triangle.

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

$5^2+10^2\neq 12^2$