Finding Unknown Sides Using the Pythagorean Theorem
The Pythagorean Theorem helps you find missing sides in right triangles using the formula a² + b² = c². When you know two sides, you can solve for the third by substituting the values and calculating.
For example, if you have a right triangle with legs of 10 and 7, you can find the hypotenuse by solving 10² + 7² = x². This gives you 100 + 49 = x², so x = 12.2. The same approach works when finding a leg - just rearrange the formula to isolate the unknown value.
The theorem also has practical applications in real-world scenarios. For instance, when Scott uses a 12-foot ramp to reach a truck 3.5 feet off the ground, you can find the horizontal distance using the Pythagorean relationship.
Pro Tip: When solving for an unknown side, always check which side is the hypotenuse (the longest side opposite the right angle) before applying the formula. The hypotenuse is always alone on one side of the equation!
