Pythagoras Theorem: 32 + 42 = 52?

In summary, to find the length of the hypotenuse (the side opposite the right angle) of a triangle, you square the length of the other two sides, add them together, and then take the square root of the result. This is known as the Pythagorean theorem, represented by the formula a^2 + b^2 = c^2. In the example given, the first side squared is 9, the second side squared is 16, and the sum of the squares is 25. Therefore, the length of the hypotenuse (c) is the square root of 25, which is 5.
  • #1
hell18
21
0
to work out a traingle side e.g. 52

is it we first times the 3 by itself to get 9 and then we times the 4 x 4 to get 16. then we take away the difference to get 52?

9 + 16 = 25

Formula
32 + 42 = 52

is this correct?
 
Last edited:
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  • #3
To work out the hypoteneuse's (the side which does not end in a 90 degree angle) length, you square the first side and add it to the square of the second side. Then take the square root of the third side.

a2 + b2 = c2

32 + 42 = c2

9 + 16 = c2

c2= 25

c = [squ]25

c = 5
 

What is Pythagoras Theorem?

Pythagoras Theorem is a mathematical equation that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Who is Pythagoras?

Pythagoras was a Greek mathematician and philosopher who is credited with discovering the Pythagoras Theorem. He lived in the 6th century BC and founded a school of thought known as Pythagoreanism.

How is Pythagoras Theorem used in real life?

Pythagoras Theorem has many practical applications in fields such as architecture, engineering, and navigation. It is used to calculate distances, angles, and heights in various structures and can also be used to solve problems involving right triangles.

Can Pythagoras Theorem be used for non-right triangles?

No, Pythagoras Theorem can only be applied to right triangles, which are triangles that have one angle measuring 90 degrees. It does not work for triangles with other types of angles.

What is the significance of "32 + 42 = 52" in Pythagoras Theorem?

In Pythagoras Theorem, the numbers 3, 4, and 5 represent the lengths of the sides of a right triangle. The equation "32 + 42 = 52" is an example of how the theorem can be applied, where 32 and 42 are the squares of the shorter sides and 52 is the square of the hypotenuse.

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