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Elodia [21]
3 years ago
15

Find the exact length of the third side.

Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer:

x = √51

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Geometry</u>

  • Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

Leg <em>a</em> = <em>x</em>

Leg <em>b</em> = 7

Hypotenuse <em>c</em> = 10

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                    x² + 7² = 10²
  2. Isolate <em>x</em> term:              x² = 10² - 7²
  3. Exponents:                   x² = 100 - 49
  4. Subtract:                       x² = 51
  5. Isolate <em>x</em>:                       x = √51
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