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3 years ago

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

Mathematics

1 answer:

Contact [7]3 years ago

6 0

Answer:

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 = 17²
Evaluate 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 = 12.0416
Round: b ≈ 12.0

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