Applied Math - Geometry - Flashcard 3 - "Triangles and Volume"

Heron's Formula is used to calculate the area of a triangle when the lengths of all three sides are known.

Volume = π × r² × h, where r is the radius and h is the height.

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Area = 1/2 × base × height.

The sum of the lengths of any two sides must be greater than the length of the third side.

The sum of the interior angles of a triangle is always 180 degrees.

Volume = length × width × height.

Subtract the sum of the known angles from 180 degrees.

Volume = (1/3) × π × r² × h, where r is the radius and h is the height.

Surface Area = 2πr(h + r), where r is the radius and h is the height.