How To Calculate The Side Length Of Ob In A Rectangle Using Geometry And Pythagorean Theorem
Last update:
Learn how to find the side length of OB in a rectangle through geometry and the Pythagorean theorem. Discover the principles of parallel sides and right triangles in this step-by-step tutorial.
- In this video, we learn how to find the side length of OB in a rectangle using geometry and the Pythagorean theorem.
- We utilize the fact that opposite sides of a rectangle are parallel and equal to each other, and the corners are right triangles.
- By applying the Pythagorean theorem and creating parallel lines, we can effectively solve this geometry problem.
In this instructional video, we delve into the world of geometry to solve the problem of finding the side length of OB in a rectangle. We use key principles of geometry, including parallel lines, right triangles, and the Pythagorean theorem, to arrive at the solution.
-
Point O is within the rectangle ABCD, with OA measuring one unit, OD three units, and OC four units. Since ABCD is a rectangle, we draw line segments EF and GH through point O, parallel to lines AB and AD, respectively.
-
By utilizing the concept of same-side interior angles, we determine that angle A plus angle AEF equals 180 degrees. As angle A is a right angle (90 degrees), angle AEF is also 90 degrees, making it a right angle.
-
Applying the Pythagorean theorem, we introduce variables a, b, c, and d to represent the side lengths of AE, ED, HG, and GB, respectively. We then establish four equations to relate these variables to the known side lengths of OA, OD, OC, and OB.
-
We focus on finding a squared and d squared. By subtracting equation two from equation one and adding equation three, we eliminate c squared and obtain a squared minus b squared. Adding the term b squared and d squared results in a squared plus d squared.
-
The equation a squared plus d squared equals OB squared. Through this, we discover that OB equals 2 square root 2. This method demonstrates the application of geometric principles and the Pythagorean theorem in solving complex problems.
In summary, this video teaches us to utilize the properties of rectangles, including parallel sides and right angles, to simplify complex geometry problems. By creating parallel lines and forming right triangles, we can effectively use the Pythagorean theorem to find unknown side lengths. Geometry enthusiasts and learners will benefit from understanding these fundamental concepts in solving geometric puzzles. Don't forget to subscribe for more educational content. Goodbye!
All rights reserved. Unauthorized reproduction, in whole or in part is strictly prohibited.
MOST POPULAR FAQs
Learn How To Make A Beautiful Baby Jacket With Neat Edges And A Crochet Chain Border. This Tutorial Provides Step-by-step Instructions For Casting On
"Discover How Twiva, An Influencer-powered Social Commerce Platform, Can Supercharge Your Sales And Brand Recognition. Register Your Business On Twiva,
Discover How To Achieve Captivating Aura Nails Using Blooming Gel, A Budget-friendly Alternative To Airbrushing. This Comprehensive Gel-X Nail Tutorial
Learn How To Conquer Procrastination With The Modified Pomodoro Technique, Tailored For Neurodivergent Individuals. Discover The Importance Of Setting
Learn The Essential Steps To Create Impactful Marketing Infographics. Discover The Importance Of Clear Objectives, Audience Understanding, Storytelling,
This Article Explores The Growing Issue Of Loneliness Among Men, Its Causes, And Potential Solutions. Discover The Impact Of Technology, The Importance
"Discover The World Of Men's Watches And Learn About Different Watch Movements Quartz, Mechanical, And Automatic. Find The Perfect Watch For Your Style
Learn How To Make A Professional And Personalized Logo In Under Five Minutes With Canva. This Step-by-step Guide Will Walk You Through Customizing Logo
Learn How To Significantly Reduce The Time Spent Reviewing ScreenFlow Video Clips In 2023. Discover Essential Tips And Keyboard Shortcuts To Speed Up The
Learn How To Effectively Seal A Granite Countertop Using STONETECH BulletProof Sealer. This Tutorial Provides Step-by-step Guidance, Emphasizing The
Learn How To Efficiently Operate A Cold Planer Attachment With Our Comprehensive Guide. Explore Joystick Modes, Planer Tilt, Depth Control, And Grinder
Learn The Best Way To Wrap Your Hands For Boxing With This Detailed Guide By A Former Professional Boxer. Get Expert Advice On Knuckle, Wrist, And Thumb
"Unlock The Power Of Abundance With Lakshmi, The Hindu Goddess. Learn How Gratitude, Selfless Giving, And Self-love Can Attract Prosperity. Create A
Explore The Versatility Of Lenormand Cards And Learn How To Interpret Them In Various Contexts. Layla, The Lenormand Reader, Provides Creative Exercises
Discover The Revolutionary Concept Of A "second Brain" With Tiago Forte. Learn How To Manage Information Overload, Apply Historical Wisdom, And Boost
Discover The Best Deals On Amazon Prime Big Deal Days, Get Expert Shopping Tips, And Learn How To Maximize Your Savings As A Prime Member. Amazon
Watch A Brief Video Tutorial On The Proper Pronunciation Of "Coelioscopy." Subscribe To Our Channel For More English Pronunciation Tips And Tricks.
Join Terran In Vlog 002 As He Embarks On His Crafting Journey In A New City, The UK. Explore His Resourceful Methods Of Setting Up A Workspace,
Learn From Gordon Ramsay How To Create Perfect Chocolate Donuts. This Step-by-step Guide Covers Making The Dough, Preparing A Luscious Chocolate Ganache,
Learn A Cost-effective Solution To Fix Flickering Horizontal Lines On Your TV Using Tape. Understand The Role Of The T-con Board And The Concept Of Image
Discover The Secrets To Achieving Glowing Skin With A Well-structured Nighttime Skincare Routine. Learn About Essential Steps, Key Products, And The
Discover The Secrets Of Making Durable, Long-lasting Pothole Repairs With QUIKRETE Commercial Grade High-Performance Blacktop Repair. Learn How To Fix
Discover The Incredible Benefits Of Aloe Vera In This Informative Video. Learn How To Extract Aloe Vera Gel For Skincare And Hair Care, And The
Discover The Simple Process To Effortlessly Transfer Photos And Videos From Your IPhone To Your Windows 10 PC In 2023 Without The Need For ITunes.
Learn How To Plan And Execute A Podcast Launch Effectively. Discover Essential Steps Like Defining Your Niche, Selecting The Right Software, And
Discover How To Use The Exlicon MX, A Multifunctional Drawing Tool From Ddiin Design, In This Comprehensive Guide. Learn To Create Precise Shapes And
Learn How To Effectively Schedule And Track Tasks Using The Vue Gantt Chart Component. This Tutorial Covers Task Scheduling Modes, Custom Validation,
Discover The Art Of Scaling Demo Requests In 2023 Through LinkedIn Conversation Ads With Silvio Perez. Leverage Incentives And Strategic Targeting For
Learn The Secrets To Breath-holding Success In This Comprehensive Guide For Beginners. Explore Relaxation Techniques, Specialized Breathing Methods, And
Learn How To Switch From Gesture Navigation To The Classic Three-button System On Google Pixel 7 And Pixel 7 Pro Devices Running Android 14 With This
Discover The Reasons Behind Misfitting 3D Printed Parts And Learn How To Ensure Perfect Fits. Explore The Importance Of Wall Ordering And Tolerances In
Discover How To Navigate Rejection In The Dating World. Learn Why Most Rejections Aren't About You And How Honesty In Values, Intentions, And
Discover The Significance Of Wheel Offset And Backspace In Customizing Your Vehicle's Wheels. Learn How To Use A 3D Printed Tool For Accurate