Pythagorean Theorem and Operations

Front

The side opposite the right angle in a right triangle is the hypotenuse.

Back

True

Front

A set of rules which are followed when evaluating an expression with more than one operation is called __________.

Back

Order of operations

Front

In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse is called the ____________.

Back

Pythagorean Theorem

Front

_________ are the set of numbers that includes all rational and irrational numbers.

Back

Real numbers

Front

A set of three positive integers (a, b, c) such that a^2 + b^2 = c^2 is called __________.

Back

Pythagorean triples

Front

What is the formula for the Pythagorean Theorem?

Back

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

Front

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

5 (using the Pythagorean Theorem: 3² + 4² = 5²).

Front

What are the legs of a right triangle?

Back

The two sides that form the right angle.

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The sum of the squares of the legs equals the square of the hypotenuse.

Front

If a right triangle has a hypotenuse of 10 and one leg of 6, what is the length of the other leg?

Back

8 (using the Pythagorean Theorem: 6² + b² = 10²).