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blsea [12.9K]
3 years ago
12

Which of the following shows the length of the third side, in inches, of the triangle below?

Mathematics
2 answers:
Rainbow [258]3 years ago
8 0

Answer:

20 inches

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

<u>Trigonometry</u>

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

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

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

Leg <em>b</em> = 15

Hypotenuse <em>c</em> = 25

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

  1. Substitute [PT]:                    x² + 15² = 25²
  2. Isolate <em>x</em> term:                      x² = 25² - 15²
  3. Exponents:                           x² = 625 - 225
  4. Subtract:                               x² = 400
  5. Isolate <em>x</em>:                               x = 20
Assoli18 [71]3 years ago
6 0

Answer:

20 inches

Step-by-step explanation:

<u>Step 1: Understanding Pythagorean Theorem</u>

The Pythagorean Theorem is a^{2} +b^{2}+c^{2}. It is used to find the side lengths of a right triangle.

<u>Step 2: Using the Theorem</u>

We can see that the triangle shown is a right triangle and we know two sides so we can solve for the last side.

We can denote -

a - 15

b - unknown

c - 25

(note, c is always the hypotenuse or the longest side of the triangle)

We can plug in the numbers -

15^{2} +b^{2} =c^{2}

225 +b^{2}=625

b^{2} =625-225

b^{2} =400

b=20

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