Question:** A triangle has sides of length 7 cm, 24 cm, and 25 cm. Is it a right triangle?
["# Is a Triangle with Sides 7 cm, 24 cm, and 25 cm a Right Triangle?", "A common question in geometry is: “Does a triangle with sides measuring 7 cm, 24 cm, and 25 cm form a right triangle?” The answer is yes, and here’s how geometry demonstrates that it is.", "## What Makes a Triangle a Right Triangle?", "A triangle is classified as a right triangle if one of its angles measures exactly 90 degrees. According to the Pythagorean Theorem, for any right triangle with legs ( a ) and ( b ), and hypotenuse ( c ) (where ( c ) is the longest side), the following equation holds:", "[\na^2 + b^2 = c^2\n]", "If this relationship is true, the triangle is a right triangle.", "## Testing the Triangle with Sides 7 cm, 24 cm, and 25 cm", "Given the sides:\n- 7 cm\n- 24 cm\n- 25 cm", "First, identify the longest side. Since 25 cm is longer than both 7 cm and 24 cm, it is the hypotenuse candidate.", "Now apply the Pythagorean Theorem:", "[\n7^2 + 24^2 = 25^2\n]", "Calculate each term:", "- ( 7^2 = 49 )\n- ( 24^2 = 576 )\n- ( 25^2 = 625 )", "Add the squares of the shorter sides:", "[\n49 + 576 = 625\n]", "Since:", "[\n625 = 625\n]", "the equation is satisfied.", "## Conclusion", "Because the sides 7 cm, 24 cm, and 25 cm fulfill the Pythagorean relationship with 25 cm as the hypotenuse, this triangle is indeed a right triangle. It’s a classic example often used in geometry classes to illustrate right triangle properties.", "If you ever wonder whether a triangle with these measurements is right-angled, just square and check — and you’ll confirm it’s NOT just a guess, but a proven right triangle!", "---", "Keywords for SEO:\nright triangle 7-24-25 cm, is a triangle with sides 7, 24, 25 a right triangle, Pythagorean theorem check, verify right triangle, triangle measurements 7-24-25, 7-24-25 triangle properties, geometry right triangle example", "Meta Description:\nConfirm if a triangle with sides 7 cm, 24 cm, and 25 cm is a right triangle using the Pythagorean theorem. Learn how to verify right triangles and why this combination satisfies the theorem."]
