Find the missing side length of the triangle 10m 7.5m

c = 12.5

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: Identify

Leg a = 7.5

Leg b = 10

Hypotenuse c = c

Step 2: Solve for c

Substitute in variables [Pythagorean Theorem]:                                              7.5² + 10² = c²Rewrite:                                                                                                             c² = 7.5² + 10²Evaluate exponents:                                                                                         c² = 56.25 + 100Add:                                                                                                                   c² = 156.25[Equality Property] Square root both sides:                                                    c = 12.5