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Nezavi [6.7K]
3 years ago
10

Find the value of x in the triangle shown below.

Mathematics
1 answer:
Sindrei [870]3 years ago
8 0

Answer:

x=5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

12^2 +x^2 = 13^2

144 +x^2 = 169

Subtract 144 from each side

144-144 +x^2 = 169-144

x^2 =25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = 5

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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
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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(-5x + 6x²) - (6x² - 5x)

<u>Step 2: Simplify</u>

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  3. [Addition] Combine like terms (x):                                                                   0
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