Pythagorean Theorem

SAT Math Tutorial

Pythagorean Theorem

Intro

the pythagorean thoerem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the “Pythagorean equation”:

A^2 + B^2 = C^2

Sample Problem

Question source

A right-angle triangle has sides of 5 and 3 meters. find the length of the side opposite to the right angle (i.e. find the length of the hypotenuse).

Solution

if side C is the hypotenuse, then the two other side of the right angle triangle can be said to be A and B. Therefore:

A^2 + B^2 = C^2

we know A=3 , B=5 and C=?

thus

3^2 + 5^2 = C^2

9+25 = C^2

(9+25)^ 0.5 = C

5.83 = C

the hypotenuse has a length of 5.83 meters



About The Author

Math.French.English.Biology.Chemistry. Tutor
My name is julite, an enthusiast of the sciences. I am currently a third year undergraduate biochemistry student. I am currently living in sherbrooke. I have led a few study group throughout my schooling and I have already thought a student one-on-on in the past as a high school graduate. I enjoy ...
Send Email
23 Subjects
KnowRo Tutor
1 Tutorial
$10
Sherbrooke, QC
Learn

Suggested Tutors for SAT Math Help

Ad

Varsity Tutors

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

Ad

Link Educational Institute

Link Educational Institute

Sophia G

Washington, DC

General Tutor

Luke N

Bethesda, MD

SAT Instructor And Humanities, Biology

Leave a Comment

Your email address will not be published.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

^