Question

Find the exact length of the third side.

Answer 1

x = √51

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

Geometry

• Pythagorean Theorem: a² + b² = c²

Explanation:

Step 1: Define

Leg a = x

Leg b = 7

Hypotenuse c = 10

Step 2: Solve for x

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