EIAT Study Guide - Week 1 Part 2

Geometry Basics: Area, Perimeter, and Volume

Area of a rectangle: A = length × width
Area of a triangle: A = ½ × base × height
Area of a circle: A = π × r²
Area of a trapezoid: A = ½ × (base1 + base2) × height
Perimeter of a square: P = 4 × side
Perimeter of a triangle: P = side1 + side2 + side3
Volume of a cube: V = side³
Volume of a rectangular prism: V = length × width × height
Volume of a cylinder: V = π × r² × height

Pythagorean Theorem

This is used to find the length of the hypotenuse (the longest side) of a right triangle.

Formula: a² + b² = c²

Example:


        Legs = 3 and 4

        3² + 4² = 9 + 16 = 25

        √25 = 5

🧠 What’s going on here?

You're using the Pythagorean Theorem to find the longest side of a right triangle, which is called the hypotenuse. That’s the side across from the right angle.

👇 Step-by-step:

a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²
√25 = 5

✅ Final Answer: The hypotenuse (the long side of the triangle) is 5 units long.

🧱 Visual Tip:

If you had blocks laid out…

One leg is 3 blocks long
Another leg is 4 blocks long

Then the hypotenuse would stretch across to form 5 blocks — forming a classic 3-4-5 triangle, which is a common shortcut to memorize.

Tools of the Trade (Tool Matching)

Caliper: Measures internal and external dimensions very precisely
Torque wrench: Tightens bolts to a specific torque
Pipe cutter: Cuts through metal pipes cleanly
Multimeter: Measures voltage, current, and resistance
Torx screwdriver: Drives Torx (star-shaped) screws
Level: Checks if a surface is horizontal or vertical
Wire stripper: Removes insulation from electrical wires
Claw hammer: Used to drive and remove nails
Combination square: Measures and marks angles or straight cuts
Jigsaw: Cuts shapes or curves in wood, plastic, or metal