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

D. x = √89

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

Substitute:                    5² + 8² = x²Exponents:                   25 + 64 = x²Add:                              89 = x²Isolate x:                       √89 = xRewrite:                        x = √89

The answer would be the second choice : )

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