Question

What is the length of the hypotenuse in the triangle shown above?

Answer 1

C. 17 yards

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: Identify Variables

Leg a = 15

Leg b = 8

Hypotenuse c = c

Step 2: Solve for c

1. Substitute [PT]: 15² + 8² = c²
2. Exponents: 225 + 64 = c²
3. Add: 289 = c²
4. Isolate c: 17 = c
5. Rewrite: c = 17