Question

Find the value of x in the triangle shown below.
X
5
6

Answer 1

Answer: 61

Explanation:

25+36=x

61=x

x=61

Answer 2

C. x = √61

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

Explanation:

Step 1: Define

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

Step 2: Identify Variables

Leg a = 6

Leg b = 5

Hypotenuse c = x

Step 3: Solve for x

1. Substitute: 6² + 5² = x²
2. Exponents: 36 + 25 = x²
3. Add: 61 = x²
4. Isolate x: √61 = x
5. Rewrite: x = √61