Question

Find the value of x in the triangle shown below.
5
12
X

Answer 1

x= 10.91

Explanation:

1. Use the Pythagoreon theorem to solve for x.

See the picture attached for the work. Let me know if anything is confusing.

Answer 2

D. x = √119

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

Trigonometry

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

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 = 5

Leg b = x

Hypotenuse c = 12

Step 3: Solve for x

1. Substitute: 5² + x² = 12²
2. Isolate x term: x² = 12² - 5²
3. Exponents: x² = 144 - 25
4. Subtract: x² = 119
5. Isolate x: x = √119