Respuesta :

Answer:

34

Step-by-step explanation:

To find the hypotenuse, you can use the Pythagorean theorem.

a^2 + b^2 = c^2

(30)^2 + (16)^2 = c^2

900 + 256 = c^2

1156 = c^2

34 = c

Space

Answer:

c = 34

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 Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

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

Step 2: Identify Variables

Leg a = 30

Leg b = 16

Hypotenuse c = x

Step 3: Solve for x

  1. Substitute:                    30² + 16² = x²
  2. Exponents:                   900 + 256 = x²
  3. Add:                              1156 = x²
  4. Isolate x:                       34 = x
  5. Rewrite:                        x = 34

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