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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

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 class=

Respuesta :

Space

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
Imstillhuman

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

[tex]\sqrt{b^2} = \sqrt{400}[/tex]

b = 20

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