Question

course 3 unit 2 vocabulary
word definition visual
hypotenuse the side opposite the right angle in a right triangle.
legs the two of a right triangle that a right angle.
order of operations the set of which are followed when an expression with than operation.
prime factorization when any number is written as the of all is factors.
pythagorean theorem in a right triangle, the sum of the of the lengths of the is equal to the square of the length of the.
pythagorean triples a set of positive (a, b, c) such that a² + b² = c².
real numbers the set of numbers that includes and all numbers.

Explanation:

1. Hypotenuse: In a right - triangle, the hypotenuse is the side opposite the right angle.
2. Legs: The legs of a right - triangle are the two sides that form the right angle.
3. Order of operations: It is the set of rules followed when evaluating an expression with more than one operation.
4. Prime factorization: Prime factorization is when any whole number is written as the product of all its prime factors.
5. Pythagorean Theorem: 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.
6. Pythagorean triples: A set of three positive integers (a, b, c) such that \(a^{2}+b^{2}=c^{2}\).
7. Real numbers: The set of numbers that includes all rational and all irrational numbers.

Answer:

1. Hypotenuse: The side opposite the right angle in a right - triangle.
2. Legs: The two sides of a right - triangle that form a right angle.
3. Order of operations: The set of rules which are followed when evaluating an expression with more than one operation.
4. Prime factorization: When any whole number is written as the product of all its prime factors.
5. Pythagorean Theorem: 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.
6. Pythagorean triples: A set of three positive integers (a, b, c) such that \(a^{2}+b^{2}=c^{2}\).
7. Real numbers: The set of numbers that includes all rational and all irrational numbers.