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ANEK [815]
3 years ago
9

Find the value of x in the triangle shown below. 5 12 X

Mathematics
2 answers:
Alenkasestr [34]3 years ago
7 0

Answer:

x= 10.91

Step-by-step explanation:

1. Use the Pythagoreon theorem to solve for x.

See the picture attached for the work. Let me know if anything is confusing.

Anarel [89]3 years ago
4 0

Answer:

D. x = √119

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Trigonometry</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

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

<u>Step 2: Identify Variables</u>

Leg <em>a</em> = 5

Leg <em>b</em> = <em>x</em>

Hypotenuse <em>c</em> = 12

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Substitute:                    5² + x² = 12²
  2. Isolate <em>x</em> term:               x² = 12² - 5²
  3. Exponents:                   x² = 144 - 25
  4. Subtract:                       x² = 119
  5. Isolate <em>x</em>:                       x = √119
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