Pythagoras Theorem Flashcards

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

a² + b² = c², where c is the hypotenuse.

The longest side of a right-angled triangle, opposite the right angle.

Use the formula c = √(a² + b²), where a and b are the other two sides.

Use the formula a = √(c² - b²) or b = √(c² - a²), where c is the hypotenuse.

It only applies to right-angled triangles.

Verify if a² + b² = c² holds true for the given sides.

The units of all sides must be the same before applying the theorem.

Used to find missing side lengths in right-angled triangles and solve real-world problems involving distances.

Can be extended to find the diagonal of a cuboid using the formula √(l² + w² + h²), where l, w, and h are the dimensions of the cuboid.