Question

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

Answer 1

Answer:

20 inches

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: Identify Variables

Leg a = x

Leg b = 15

Hypotenuse c = 25

Step 2: Solve for x

1. Substitute [PT]:                    x² + 15² = 25²
2. Isolate x term:                      x² = 25² - 15²
3. Exponents:                           x² = 625 - 225
4. Subtract:                               x² = 400
5. Isolate x:                               x = 20

Answer 2

Answer:

20 inches

Step-by-step explanation:

Step 1: Understanding Pythagorean Theorem

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

Step 2: Using the Theorem

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 -

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

$225 +b^{2}=625$

$b^{2} =625-225$

$b^{2} =400$

$b=20$