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Mashutka [201]
3 years ago
5

Determine Missing Length

Mathematics
1 answer:
Rainbow [258]3 years ago
4 0

Answer:

c = 7√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Trigonometry</u>

Pythagorean Theorem: a² + b² = c²

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

Step-by-step explanation:

<u>Step 1: Identify</u>

We have a right triangle with side lengths 7 and 14

<u>Step 2: Solve for hypotenuse</u>

  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!

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