Question

Find the length of the missing side. Round to the nearest tenth (one decimal place).

Answer 1

x ≈ 9.4

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

Equality Properties

Trigonometry

• [Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Explanation:

Step 1: Define

We are given a right triangle. We can use PT to find the missing length.

Step 2: Identify Variables

Leg a = 9

Leg b = x

Hypotenuse c = 13

Step 3: Solve for x

1. Substitute [PT]: 9² + x² = 13²
2. Isolate x term: x² = 13² - 9²
3. Exponents: x² = 169 - 81
4. Subtract: x² = 88
5. Isolate x: x = 2√22
6. Evaluate: x = 9.38083
7. Round: x ≈ 9.4