Question

Answer this please...

Answer 1

x = 6

a = 18 ft

b = 36 ft

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra I

• Factoring/Expanding
• Solving quadratics

Trigonometry

• Pythagorean Theorem: a² + b² = c²

Explanation:

Step 1: Define

Given: Right triangle

a = 3x

b = 6x

c = 40

Step 2: Solve for x

1. Substitute: (3x)² + (6x)² = 40²
2. Evaluate: 9x² + 36x² = 1600
3. Combine like terms: 45x² = 1600
4. Isolate x term: x² = 320/9
5. Isolate x: x = (±8√5)/3
6. Evaluate: x = ±5.96285

Since it is not a quadrant triangle, we must use the positive value for x.

Step 3: Find legs

Leg a

1. Define: 3x
2. Substitute: 3(5.96285)
3. Multiply: 17.8885
4. Round: 18

Leg b

1. Define: 6x
2. Substitute: 6(5.96285)
3. Multiply: 35.7771
4. Round: 36