Question

Does set of numbers \ 7,16,18\ ) form a Pythagorean triple? Explain

Answer 1

No

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

• a is a leg
• b is another leg
• c is the hypotenuse

Explanation:

Step 1: Identify Variables

Leg a = 7

Leg b = 16

Hypotenuse c = 18

Step 2: Check

1. Substitute in variables [Pythagorean Theorem]: 7² + 16² = 18²
2. [Pythagorean Theorem] Evaluate exponents: 49 + 256 = 324
3. [Pythagorean Theorem] Add: 305 ≠ 324

Since we know that 305 does not equal 324, that means the side lengths do not form a Pythagorean triple.