Question

Find the value of x in the triangle shown below. 5 8 X

Answer 1

Answer:

D. x = √89

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

Step-by-step explanation:

Step 1: Define

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

Step 2: Identify Variables

Leg a = 5

Leg b = 8

Hypotenuse c = x

Step 3: Solve for x

1. Substitute:                    5² + 8² = x²
2. Exponents:                   25 + 64 = x²
3. Add:                              89 = x²
4. Isolate x:                       √89 = x
5. Rewrite:                        x = √89