What is the perimeter of the triangle.

P = 36 units

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Reading a Cartesian Plane

Geometry

Perimeter is all the side lengths added together

Trigonometry

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

Step-by-step explanation:

Step 1: Define

We can determine some of the perimeter already by finding the lengths of the legs.

Bottom Leg = 12 units

Vertical Leg = 9 units

Step 2: Determine 3rd Leg

Substitute [PT]:                    12² + 9² = c²Exponents:                           144 + 81 = c²Add:                                      225 = c²Isolate c:                               15 = cRewrite:                                c = 15

Step 3: Determine Perimeter

Substitute:                       P = 12 units + 9 units + 15 unitsAdd:                                 P = 36 units

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