What is the length of the hypotenuse?

c = 68

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 Subtraction Property of Equality

Trigonometry

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

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

Step-by-step explanation:

Step 1: Define

Identify variables

a = 60

b = 32

Step 2: Solve for c

Substitute in variables [Pythagorean Theorem]:                                            60² + 32² = c²Evaluate exponents:                                                                                         3600 + 1024 = c²Add:                                                                                                                   4624 = c²[Equality Property] Square root both sides:                                                    68 = cRewrite:                                                                                                             c = 68

The formula for this is a squared + b squared = c squared (hypotenuse squared)

60 squared = 3600
32 squared = 1024
3600 + 1024 = 4624
c squared (hypotenuse squared) = 4624
now square route it to find the hypotenuse
= 68
the hypotenuse is 68 m