Answer:
x = 32 yd
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Explanation:
Step 1: Identify Variables
Leg a = x
Leg b = 24
Hypotenuse c = 40
Step 2: Solve for x
- Substitute in variables [Pythagorean Theorem]: x² + 24² = 40²
- [Subtraction Property of Equality] Isolate x term: x² = 40² - 24²
- Evaluate exponents: x² = 1600 - 576
- Subtract: x² = 1024
- [Equality Property] Isolate x: x = 32