How can you prove a triangle is a right triangle? O Use the distance formula to see if at least two sides are congruent. O Use the slope formula to see if any sides are perpendicular. O Use the distance formula to see if all three sides are congruent. Use the slope formula to see if any sides are parallel.
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One of the most effective ways to prove a triangle is a right triangle involves using the Pythagorean theorem: if the square of the length of the longest side (hypotenuse) equals the sum of the squares of the lengths of the other two sides, voilà, you've got a right triangle! Remember, in a triangle with sides a, b, and c (where c is the longest), if a² + b² = c², it's a right triangle. You can also use the slope formula to check for right angles! By calculating the slopes of the lines formed by the triangle's sides, you can see if any two sides are perpendicular. If the product of the slopes of two sides equals -1, that right angle is confirmed. It's like a little math detective game!