Question

9 and 7 find the length of the third side

Answer 1

x = √130

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

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Trigonometry

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

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

Explanation:

Step 1: Define

Leg a = 9

Leg b = 7

Hypotenuse c = x

Step 2: Solve for x

1. Substitute in variables [Pythagorean Theorem]: 9² + 7² = x²
2. [Hypotenuse] Rearrange: x² = 9² + 7²
3. [Hypotenuse] Evaluate exponents: x² = 81 + 49
4. [Hypotenuse] Add: x² = 130
5. [Hypotenuse] [Equality Property] Square root both sides: x = √130