Question

Determine whether the side lengths form a right triangle just say yes or no

Answer 1

Yes, the side lengths

Step-by-step explanation:

To be able to determine if the given side lengths of the triangle will form a right triangle, we'll have to apply the Pythagorean Theorem which states, in a right-angled triangle, the square of the hypotenuse(the longest side) must be equal to the sum of squares of the other two sides.

So let's go ahead and confirm;

`\begin{gathered} 14.5^2=10.5^2+10^2 \\ 210.25=110.25+100 \\ 210.25=210.25 \end{gathered}`

Since the Pythagorean theorem is obeyed as we can see above, then the side lengths will form a right triangle.