Pythagorean Theorem Photo Essay

By: Madalyn Frank


Pythagoras was a Greek mathematician and philosopher who create the Pythagorean theorem. The Pythagorean theorem is a2+b2=c2. The Pythagorean theorem is used for finding the length of the hypotenuse on a right triangle. The Pythagorean theorem is very important especially in many jobs.

Jobs the Pythagorean Theorem is used in!

Agricultural workers/ farmers use the pythagorean theorem when they need to draw accurate lines that help show growing spaces to determine how large of an area they have and how much they can plant in that field. If they work with farmers, or just inspect farms, or actually work on a farm they all have to use the pythagorean theorem.

Surveyors also use this as a very important part of their job. Surveyors use the pythagorean theorem to measure out people’s property lines and to be able to measure a boundary line

quickly would be very helpful.

Engineers, use this almost daily to find out the lengths of whatever they are engineering. They use this to help them find their measurements.

Construction Workers, use the pythagorean theorem everyday to make measurements specifically on the corners of an object. Such as finding out the pitch of a roof.

Architects use this any time they use a right triangle in a design and they need to find the measurement.

Sports such as football use it because it will help find the quickest way for a defender to meet up with the person with the ball to tackle them. Also when you have to find the distance you need to throw the ball in baseball.

Right Triangles!

Right triangles are triangles that have an angle of 90 degrees. An example of a right triangle is:

Square Root

A square root is when you multiply a number by itself the number you multiplied becomes the square root of the product. If you wanted to find the square root of a number you have to find out what number multiplied by itself equals that number.

Here are some examples:

2x2=4 3x3=9 4x4=16 5x5=25 6x6=36 7x7=49 8x8=64

9x9=81 10x10=100 14.14x14.14= 200 24.5x24.5=601.8

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My Math!

This is the math for finding the hypotenuse of the first five triangles. I used the Pythagorean Theorem which is a2+b2=c2. I took for example the first triangle had two legs of 10cm. So for the first triangle I did 10 squared is 100+ another 10 squared is 100. So I had 100+100=c2. I knew though that the hypotenuse was c not c2. 100+100=200 or c2 and we want just c. So we find the square root of 200 and that is the hypotenuse of the triangle. The hypotenuse of triangle 1 is 14.14 cm long. This hypotenuse then becomes one of the legs along with the other 10 cm long leg. You then use these two numbers and put them into the Pythagorean Theorem to find the hypotenuse. I did this five times in a row for the first five triangles.