Question

PYTHAGORAS
work out the side of b.
give your answers to one decimal place

Answer 1

12 cm

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 = 12 cm

c = 17 cm

Step 2: Solve for b

1. Substitute in variables [Pythagorean Theorem]: 12² + b² = 17²
2. Evaluate exponents: 144 + b² = 289
3. [Subtraction Property of Equality] Subtract 144 on both sides: b² = 145
4. [Equality Property] Square root both sides: b = √145
5. [√Radical] Evaluate: b = 12.0416
6. Round: b ≈ 12.0