Question

Find the length of the hypotenuse.

12
5
18
6

Answer 1

Answer:

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] SOHCAHTOA  
• [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 45°

Opposite Leg: 3√2

Step 2: Find Hypotenuse

1. Substitute in variables [Sine]:                                                                          $\displaystyle sin(45^\circ) = \frac{3\sqrt{2}}{c}$
2. [Multiplication Property of Equality] Cross-multiply:                                      $\displaystyle c = \frac{3\sqrt{2}}{sin(45^\circ)}$
3. Evaluate:                                                                                                           $\displaystyle c = 6$

Answer 2

Answer:

6

Step-by-step explanation:

sin 45° = 3√2/ h

h = 3√2/ sin 45°

= 6