Written by students who passed Immediately available after payment Read online or as PDF Wrong document? Swap it for free 4.6 TrustPilot
logo-home
Class notes

Pythagoras theorem - lesson and exercises

Rating
-
Sold
-
Pages
10
Uploaded on
16-04-2026
Written in
2025/2026

The document contains a long Pythagoras theorem lesson and 9 exercises after that - the first 5 of them are easy - medium hard and the other 4 - hard. The document is created in April 2026 and it's for everyone interested in mathematics. The author is Simeon Kolarov.

Show more Read less
Institution
Course

Content preview

Pythagoras theorem




The Pythagoras theorem, which is also referred to as the
Pythagorean theorem, explains the relationship between the
three sides of a right-angled triangle. According to the
Pythagorean theorem, the square of the hypotenuse is equal
to the sum of the squares of the other two sides of a triangle.
The Pythagoras theorem states that if a triangle is a
right-angled triangle, then the square of the hypotenuse is
equal to the sum of the squares of the other two sides.
Observe the following triangle ABC, in which we have BC2 =
AB2 + AC2.

, Pythagoras theorem

Here, AB is the base; AC is the altitude (height), and BC is the
hypotenuse. It is to be noted that the hypotenuse is the
longest side of a right-angled triangle.
The Pythagoras theorem equation is expressed as, c2 = a2
+ b2, where 'c' = hypotenuse of the right triangle and 'a' and
'b' are the other two legs. Hence, any triangle with one angle
equal to 90 degrees produces a Pythagoras triangle, and the
Pythagoras equation can be applied in the triangle.
Pythagoras theorem was introduced by the Greek
Mathematician Pythagoras of Samos. He was an ancient
Greek philosopher who formed a group of mathematicians
who worked religiously on numbers and lived like monks.
Although Pythagoras introduced the theorem, there is
evidence that proves that it existed in other civilizations too,
1000 years before Pythagoras was born. The oldest known
evidence is seen between the 20th to the 16th century B.C in
the Old Babylonian Period.
The Pythagorean theorem formula states that in a right
triangle ABC, the square of the hypotenuse is equal to the
sum of the squares of the other two legs. If AB and AC are the
sides and BC is the hypotenuse of the triangle, then: BC2 =
AB2 + AC2 . In this case, AB is the base, AC is the altitude or
the height, and BC is the hypotenuse.

Written for

Course

Document information

Uploaded on
April 16, 2026
Number of pages
10
Written in
2025/2026
Type
Class notes
Professor(s)
Asya kolarova
Contains
All classes

Subjects

$4.23
Get access to the full document:

Wrong document? Swap it for free Within 14 days of purchase and before downloading, you can choose a different document. You can simply spend the amount again.
Written by students who passed
Immediately available after payment
Read online or as PDF

Get to know the seller
Seller avatar
pacman1

Get to know the seller

Seller avatar
pacman1 Self
Follow You need to be logged in order to follow users or courses
Sold
-
Member since
2 weeks
Number of followers
0
Documents
1
Last sold
-

0.0

0 reviews

5
0
4
0
3
0
2
0
1
0

Recently viewed by you

Why students choose Stuvia

Created by fellow students, verified by reviews

Quality you can trust: written by students who passed their tests and reviewed by others who've used these notes.

Didn't get what you expected? Choose another document

No worries! You can instantly pick a different document that better fits what you're looking for.

Pay as you like, start learning right away

No subscription, no commitments. Pay the way you're used to via credit card and download your PDF document instantly.

Student with book image

“Bought, downloaded, and aced it. It really can be that simple.”

Alisha Student

Working on your references?

Create accurate citations in APA, MLA and Harvard with our free citation generator.

Working on your references?

Frequently asked questions