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

Front

What is Heron's Formula used for?

Back

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

Front

How do you calculate the volume of a cylinder?

Back

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

Front

What is the Pythagorean Theorem?

Back

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.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height.

Front

How do you determine if three sides can form a triangle?

Back

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

Front

What is the relationship between the angles in a triangle?

Back

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

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

How do you find the missing angle in a triangle?

Back

Subtract the sum of the known angles from 180 degrees.

Front

What is the formula for the volume of a cone?

Back

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

Front

What is the formula for the surface area of a cylinder?

Back

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