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

12 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

Step-by-step explanation:

Step 1: Define

Identify variables

a = 12 cm

c = 17 cm

Step 2: Solve for b

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

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