Question

BRAiNLIES AND 10 POINTS
What is the length of the third side of the window frame below?
10 inches
12 inches
16 inches
20 inches

Answer 1

Answer:

20 inches

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 Triangle Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Leg a = x

Leg b = 48

Hypotenuse c = 52

Step 2: Solve for x

1. Substitute [PT]:                    x² + 48² = 52²
2. Isolate x term:                      x² = 52² - 48²
3. Exponents:                           x² = 2704 - 2304
4. Subtract:                              x² = 400
5. Isolate x:                              x = 20

Answer 2

Answer:

20 inches

Step-by-step explanation:

Since this is a right triangle, we'll use the Pythagorean Theorem

a^2 + b^2 = c^2

48^2 + b^2 = 52^2

2304 + b^2 = 2704

subtract 2304 from both sides

b^2 = 400

$\sqrt{b^2} = \sqrt{400}$

b = 20