Tutorial Articles - Trigonometry Blog

Mathematical diagram showing different triangle types with area calculation formulas and measurement labels

How to Calculate Triangle Area: 5 Methods Explained

Learn 5 proven methods to calculate triangle area with step-by-step examples. Master geometry formulas for homework, construction, and real-world applications.

Mathematical diagram showing triangle verification methods with angles, sides, and calculation formulas highlighted

Tutorial 7 min read

How to Check Your Triangle Answers: Verification Techniques That Catch Mistakes

Learn essential verification techniques to check your triangle calculations and catch mistakes before they become costly errors. Perfect for students and professionals.

A level tool showing plumb, level, and square measurements for builders and DIYers

Tutorial 11 min read

The Difference Between Square, Plumb, and Straight: A Guide for Builders and DIYers

Master the 3-4-5 method and learn when square, plumb, and straight matter most. Essential geometry for construction, carpentry, and DIY projects.

Builder using tape measure and stakes to square building footings with the 3-4-5 method

Tutorial 9 min read

How to Square the Footings of a Building: A Complete Guide Using Trigonometry

Square your foundation perfectly using the 3-4-5 method and diagonal measurements. Step-by-step guide for garages, decks, sheds, and buildings.

Ground-mounted solar panel array with perfectly aligned foundation piers showing proper squaring technique using measuring tools

Tutorial 8 min read

How to Square a Ground-Mounted Solar Array: A Trigonometry Guide for Perfect Pier Alignment

Learn how to square ground-mounted solar array piers using trigonometry. Master the Pythagorean theorem for perfect DIY solar installation alignment.

Person standing in a circle, representing a unit circle diagram

Tutorial 18 min read

The Unit Circle: Your New Best Friend in Trigonometry

Learn the unit circle the easy way! This beginner-friendly guide covers sine, cosine, tangent, special angles, and memory tricks. Includes interactive calculator and practice problems.

Tape measure showing feet and inches imperial measurements

Tutorial 9 min read

Feet & Inches in Triangle Math: Conversion Guide for Construction

Convert feet and inches for triangle calculations. Learn decimal conversions, handle fractional inches, and apply trigonometry to construction measurements.

Quality control checklist for validating triangle measurements and calculations

Tutorial 7 min read

Triangle Inequality Theorem: Validation Rules for Checking Work

Verify triangle calculations with validation rules. Learn the triangle inequality theorem and tests to ensure measurements are mathematically possible.

Open geometry textbook showing right triangle problem-solving methods and formulas

Tutorial 12 min read

How to Solve Right Triangles: Complete Step-by-Step Guide

Solve any right triangle with missing information. Master all scenarios: two sides, side + angle, using Pythagorean theorem and trigonometric functions.

Digital caliper showing precision measurement of a component

Tutorial 8 min read

Decimal Place Precision: How Much Accuracy Do You Really Need?

Determine appropriate decimal place precision for your project. Learn accuracy requirements from DIY (±⅛") to aerospace (±0.0001") applications.

Student working on right triangle calculations with calculator and geometry homework

Tutorial 10 min read

7 Right Triangle Mistakes Students Make (And How to Fix Them)

Avoid common errors in right triangle calculations. Learn to identify hypotenuse confusion, angle labeling mistakes, and unit conversion problems with examples.