Pythagorean theorem

By Alejandro Campos

Who was Pythagoras?

Pythagoras was born about 569 B.C in Samos, Greece. He died about 500 - 475 B.C in Metapontum Italy. He was referred to as the first mathematician. He had two/three brother, and his father was a gem merchant. They were many writings about his death around 500- 475 B.C. Some historians said he had a wife and children, and some say he didn't. He was well educated and had interests in mathematics, philosophy, astronomy, and music.

Uses the Pythagorean theorem

Jobs that use the Pythagorean theorem Architecture and Construction

The most obvious application of the Pythagorean Theorem is in the world of architecture and building construction, particularly in reference to triangular-shaped roofs and gables. The theorem applies only when dealing with right triangles or triangles with a 90-degree angle.

Earthquake Location

Geologists also use the Pythagorean Theorem when tracking earthquake activity. Earthquakes result in two different types of waves -- one that is slower than the other. By triangulating the distance traveled by the faster waves with that traveled by the slower waves, geologists can determine the center or source of the earthquake.

Crime Scene Investigation

Forensic investigators use the Pythagorean Theorem to determine the bullet trajectory. Bullet trajectory shows the path the bullet took before impact. This trajectory tells police the area from which the bullet originated. Investigators can also tell how close the shooter was to the victim. This can help police determine whether or not a death is a suicide or a homicide. Blood spatter evidence can also be analyzed with the Pythagorean Theorem. Blood spatter is the spray of blood from a victim after an assault. Police use these calculations to determine the angle of impact and the positions of both the victim and the assailant during the assault.

Skills/uses that use the Pythagorean theorem

Arrow or Missile Trajectory

Archers use the Pythagorean Theorem to determine the correct trajectory needed to hit a target. If the calculations are accurate, the arrow will hit. If not, the arrow may fall short or miss the mark. Guided missile systems use a similar method to accurately strike their targets.


Triangulation is a method used for pinpointing a location when two reference points are known. When triangulation is used with a 90-degree angle, the Pythagorean Theorem is used to determine the location. Cell phones can be traced by way of triangulation. Car navigation systems use this method. Triangulation can also be used in conjunction with a compass to determine one’s geographic location. NASA also uses triangulation to determine the position of the spacecraft. NASA sends a signal to the craft which then bounces the signal back. Triangulation uses these figures to calculate the craft’s position in space


What is a right triangle?

I right triangle is a triangle with an angle of 90 degrees,or a "right angle"

What is a square root?

a square root of a number a is a number y such that y2 = a. Here is a example question,

A2 +B2 = C2

102 + 10 2 = C2

100+ 100 =C2

v/200 = C

Day 1

I started to make the Pythagorean theorem. Materials I needed were a ruler,(to measure accurately) big white construction paper provided by the teacher, and a pencil.

Day 2

I finished the triangle part and it was time to work on the design. I chose to have a super hero logo in each triangle, and then full the white parts with the main color. For example superman, I would make the logo and fill the rest of the triangle in light blue.

Day 3

I'm still drawing more logos and fulling the triangles.


Finishing up on the last logos and fulling white areas of the triangle. This picture is my wheel finished.


I have finished my wheel, my last step to do was the calculations in the back.