Answer this please...

x = 6

a = 18 ft

b = 36 ft

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Factoring/ExpandingSolving quadratics

Trigonometry

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Given: Right triangle

a = 3x

b = 6x

c = 40

Step 2: Solve for x

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

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

Step 3: Find legs

Leg a

Define:                    3xSubstitute:              3(5.96285)Multiply:                  17.8885Round:                    18

Leg b

Define:                    6xSubstitute:              6(5.96285)Multiply:                  35.7771Round:                    36