Question

What is the length of the missing leg?

Answer 1

a = 6

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

Identify variables

a = a

b = 8

c = 10

Step 2: Solve for a

1. Substitute in variables [Pythagorean Theorem]: a² + 8² = 10²
2. Evaluate exponents: a² + 64 = 100
3. [Subtraction Property of Equality] Subtract 64 on both sides: a² = 36
4. [Equality Property] Square root both sides: a = 6