Is the triangle where a=7b=24 and c=25 a right triangle? B Subm

To determine if the triangle with sides $a=7$, $b=24$, and $c=25$ is a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.<br /><br />In this case, we can assume that $c$ is the hypotenuse since it is the longest side. Let's plug in the values and check if the equation holds true:<br /><br />\[a^2 + b^2 = c^2\]<br /><br />Substituting the given values:<br /><br />\[7^2 + 24^2 = 25^2\]<br /><br />\[49 + 576 = 625\]<br /><br />\[625 = 625\]<br /><br />Since the equation holds true, we can conclude that the triangle with sides $a=7$, $b=24$, and $c=25$ is indeed a right triangle.