Question

Determine Missing Length

Answer 1

c = 7√5

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Trigonometry

Pythagorean Theorem: a² + b² = c²

• a is a leg
• b is also a leg
• c is hypotenuse

Explanation:

Step 1: Identify

We have a right triangle with side lengths 7 and 14

Step 2: Solve for hypotenuse

1. Substitute: 7² + 14² = c²
2. Exponents: 49 + 196 = c²
3. Add: 245 = c²
4. Square root: √245 = c
5. Rewrite: c = √245
6. Simplify: c = 7√5

And we have our final answer!