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daser333 [38]
2 years ago
8

HELP MEEEE PLEASEEEEEEEEEEEEEE

Mathematics
2 answers:
Agata [3.3K]2 years ago
8 0

Answer:

a = 4

Step-by-step explanation:

a^2 + b^2 = c^2

a= ?

b= 3

c= 5 (c is always the hypotenuse)

*plug in given values

a^2 + 3^2 = 5^2

a^2 + 9 = 25

-9 -9

a^2 = 16

*find the square root

sqrt(a) = sqrt(16)

a = 4

Makovka662 [10]2 years ago
3 0

Answer:

a = 4

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Trigonometry</u>

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

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

Leg <em>a</em> = <em>a</em>

Leg <em>b</em> = 3

Hypotenuse <em>c</em> = 5

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                          a² + 3² = 5²
  2. [Subtraction Property of Equality] Isolate <em>a </em>term:                                         a² = 5² - 3²
  3. Evaluate exponents:                                                                                       a² = 25 - 9
  4. Subtract:                                                                                                          a² = 16
  5. [Equality Property] Isolate <em>a</em>:                                                                          a = ±4

Since we are dealing with a regular right triangle and not a quadrant triangle, we use the positive root.

∴ a = 4

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