Final answer:
To determine if a triangle is a right triangle, use the Pythagorean theorem. If the equation a² + b² = c² holds true, where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse, then the triangle is a right triangle.
Step-by-step explanation:
A right triangle is a triangle that has one angle measuring 90 degrees. In order to determine if a triangle 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.
If we are given the lengths of all three sides of a triangle, we can use the Pythagorean theorem to determine if it is a right triangle. If the equation a² + b² = c² holds true, where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse, then the triangle is a right triangle.