Question

Find the length of the hypotenuse. Round your
answer to the nearest hundredth.

Answer 1

Answer:

c ≈ 8.06

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

Subtract Property of Equality

Trigonometry

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

a is a leg

b is another leg

c is the hypotenuse

Explanation:

Step 1: Define

a = 7

b = 4

Explanation:

Answer 2

c ≈ 8.06

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Trigonometry

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

• a is a leg
• b is another leg
• c is the hypotenuse

Explanation:

Step 1: Define

a = 7

b = 4

Step 2: Solve for c

1. Substitute [PT]: 7² + 4² = c²
2. Evaluate exponents: 49 + 16 = c²
3. Add: 65 = c²
4. Isolate c: √65 = c
5. Evaluate radical: 8.06226 = c
6. Rewrite: c = 8.06226
7. Round: c ≈ 8.06