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

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 legb is another legc is the hypotenuse

Step-by-step explanation:

Step 1: Define

a = 7

b = 4

Step 2: Solve for c

Substitute [PT]:                         7² + 4² = c²Evaluate exponents:                49 + 16 = c²Add:                                           65 = c²Isolate c:                                   √65 = cEvaluate radical:                      8.06226 = cRewrite:                                    c = 8.06226Round:                                      c ≈ 8.06