Find the exact length of the third side.
1 answer:
Answer:
x = √51
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<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>
- Substitute: x² + 7² = 10²
- Isolate <em>x</em> term: x² = 10² - 7²
- Exponents: x² = 100 - 49
- Subtract: x² = 51
- Isolate <em>x</em>: x = √51
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