In a right triangle, one leg is 9 units and the hypotenuse is 15 units. Find the length of the other leg.
["# How to Find the Missing Leg in a Right Triangle: Step-by-Step Guide", "In right triangle geometry, knowing the lengths of two sides allows you to easily determine the length of the third side using the Pythagorean Theorem. This fundamental formula states:", "$$\na^2 + b^2 = c^2\n$$", "where:\n- (a) and (b) are the legs (the two shorter sides),\n- (c) is the hypotenuse (the longest side opposite the right angle).", "## Problem: One Leg Is 9 Units, Hypotenuse Is 15 Units", "Imagine a right triangle where:\n- one leg (a = 9) units,\n- hypotenuse (c = 15) units,\n- and we need to find the length of the missing leg (b).", "### Step 1: Recall the Pythagorean Theorem\n$$\na^2 + b^2 = c^2\n$$", "Substitute the known values:\n$$\n9^2 + b^2 = 15^2\n$$", "### Step 2: Calculate the Squares\n$$\n81 + b^2 = 225\n$$", "### Step 3: Solve for (b^2)\nSubtract 81 from both sides:\n$$\nb^2 = 225 - 81 = 144\n$$", "### Step 4: Take the Square Root\n$$\nb = \sqrt{144} = 12\n$$", "### ✅ Final Answer\nThe length of the missing leg is 12 units.", "---", "### Why This Matters", "Understanding how to apply the Pythagorean Theorem empowers you to solve real-world problems involving distances—like calculating the distance between two points on a map, determining roof pitches, or verifying structural integrity.", "If you want to practice more problems, try other right triangles by choosing a leg and the hypotenuse, then plug them into the formula. Mastering this skill is essential for geometry, trigonometry, and many STEM applications!", "---", "Keywords: right triangle, Pythagorean Theorem, find missing leg, 9 unit leg 15 unit hypotenuse, solving right triangles, geometry problems, triangle formulas", "Meta Description: Learn how to find the missing leg in a right triangle using the Pythagorean Theorem. Example: leg = 9, hypotenuse = 15 → missing leg = 12 units. Step-by-step guide for students and math enthusiasts."]
