Find the missing side of a right triangle (a² + b² = c²).
The Pythagorean theorem describes the relationship between the sides of a right triangle. It states that the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse).
Note: This only works for right-angled triangles (90 degrees).
Construction: Roofers use this to determine the length of rafters (the hypotenuse) based on the span and rise of the roof.
Navigation: If you move East 3 miles and North 4 miles, your direct distance from the start is 5 miles.
Screen Size: Diagonal screen sizes on TVs and phones are calculated using width and height.
Problem: Find the hypotenuse if side a = 6 and side b = 8.
Therefore, c = 10
The hypotenuse is the longest side of a right-angled triangle. It is always located opposite the 90-degree angle. In the formula $a^2 + b^2 = c^2$, it is represented by the letter $c$.
A 3-4-5 triangle is a specific right triangle where the sides are in a ratio of 3:4:5. It is commonly used in construction because it creates a perfect right angle without needing a protractor.
No. The Pythagorean theorem only applies to Right-Angled Triangles. For acute or obtuse triangles, you must use the Law of Cosines.