Question

80 yd
64 yd
b
What is the length of the missing leg?
=
yards

Answer 1

b = 48 yards

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 = 64

Hypotenuse c = 80

Step 2: Solve for x

1. Substitute: x² + 64² = 80²
2. Isolate x term: x² = 80² - 64²
3. Exponents: x² = 6400 - 4096
4. Subtract: x² = 2304
5. Isolate x: x = √2304
6. Evaluate: x = 48