Calculate the hypotenuse or legs of a right triangle using the Pythagorean theorem
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Ensuring walls are perpendicular, calculating roof slopes, and verifying square corners
Calculating shortest distances, GPS navigation, and surveying land
Structural analysis, mechanical design, and calculating diagonal measurements
Calculating distances between points, collision detection, and 3D rendering
Vector calculations, force analysis, and projectile motion
A triangle with one 90-degree angle. The Pythagorean theorem only applies to right triangles.
The longest side of a right triangle, always opposite the right angle. It's always longer than either leg.
The two sides that form the right angle. They are perpendicular to each other.
Sets of three positive integers that satisfy the theorem: (3,4,5), (5,12,13), (8,15,17), (7,24,25)
A practical method used in construction to create right angles using the 3-4-5 Pythagorean triple or its multiples.
The Pythagorean theorem is the basis for the distance formula: d = √((x₂-x₁)² + (y₂-y₁)²)
Calculate percentages and percentage changes
Calculate percentage increase
Calculate percentage decrease
Calculate percentage difference
Calculate with fractions
Calculate ratios and proportions