A right triangle has legs of length 9 cm and 12 cm. What is the length of the hypotenuse?
["# A Right Triangle with Legs 9 cm and 12 cm — Find the Hypotenuse Length", "When studying geometry, few problems are as fundamental and widely used as calculating the hypotenuse of a right triangle. Whether you're solving for dimensions in a construction project, understanding trigonometry basics, or tackling homework, knowing how to find the hypotenuse is essential.", "What is a Right Triangle?\nA right triangle is a triangle with one angle measuring exactly 90 degrees. The two sides forming this right angle are called the legs, and the opposite side, opposite the right angle, is the hypotenuse — the longest side of the triangle.", "---", "## Given: Legs of 9 cm and 12 cm", "Let’s say:\n- Leg A = 9 cm\n- Leg B = 12 cm\n- Hypotenuse = c (unknown)", "---", "## Use the Pythagorean Theorem", "To find the hypotenuse in a right triangle, use the Pythagorean theorem:", "[\nc = \sqrt{a^2 + b^2}\n]", "Substitute the known values:", "[\nc = \sqrt{9^2 + 12^2} = \sqrt{81 + 144} = \sqrt{225}\n]", "[\nc = 15 \ ext{ cm}\n]", "---", "## Final Answer", "The length of the hypotenuse is 15 centimeters.", "---", "## Why This Matters", "Understanding how to calculate the hypotenuse helps in fields such as architecture, engineering, navigation, and physics. It reinforces core principles of geometry and supports more complex problem-solving involving right-angled shapes.", "Whether you're measuring land, designing a structure, or simply improving your math skills, mastering the hypotenuse formula is a smart and practical investment.", "---", "Keywords: right triangle, hypotenuse, Pythagorean theorem, right triangle legs 9 cm and 12 cm, geometry, math problem, hypotenuse calculation, 9 and 12 cm triangle, 15 cm hypotenuse."]
