Pythagorean Theorem

Trigonometry Tutorial

Pythagorean Theorem

Intro

Pythagorean theorem introduces the key equation to solving lengths of a right triangle’s side. (A right triangle being one that has a 90 degree angle). With the givens of two side lengths (denoted as a, b, and c, in the respective order of lengths) the equation a^2 + b^2 = c^2 can be used.

Sample Problem

A right triangle has side lengths of 3 and 4. Solve for the length of the hypotenuse (the side opposite of the 90 degree angle) using Pythagorean theorem.

Solution

Side length a = 3
Side length b = 4
The equation is:
a^2 + b^2 = c^2

Plug in a and b:
3^2 + 4^2 = c^2

Solve for c:
c = sqrt( 3^2 + 4^2 )
c = sqrt( 9 + 16 )
c = sqrt( 25 )
c = 5

The length of the hypotenuse is 5.



About The Author

Engineering Student With Expertise In Math, Scienc
From fifth grade to present day junior year of college, I have been tutoring my peers and others, both as a job and pro bono, in a variety of subjects. I am currently a mechanical engineering student at Calvin College with an interest in writing. Along with my extensive education, my highest quality...
Send Email
19 Subjects
KnowRo Tutor
1 Tutorial
$20
Kentwood, MI
Learn

Suggested Tutors for Trigonometry Help

Ad

Varsity Tutors

(855) 475-5132 - Award-Winning Academic & Test Prep Tutors

Sophia G

Washington, DC

General Tutor

Siddarth C

Vienna, VA

All Subjects

Adam J

Arlington, VA

Professional Tutor - Expertise In Many Subjects/Levels - LD/ADHD/Gifted Students Welcome

Leave a Comment

Your email address will not be published. Required fields are marked *

^