Maths

How To Use Pythagoras Theorem? | Geometry | Maths | Tutorial

This theorem proves that for a right angle triangle, the area of the square on the hypothenuse (the longest side or the side opposite the right angle) is equal to the sum of the area of the squares on the sides adjacent to the right angle.

Once we have established the area of the square we can then take the square root of this to give us the length of one side of the square thus providing us with the length of one side or the triangle.

Example

Now suppose we have a right angle triangle (figure 1) then the formulae to calculate this would be:

Screenshot 2020-04-24 at 00.35.04

Illustration of Formula

Figure 3 below illustrates how this formula works in practice. The area of the two squares adjacent to the right angle combined will equal the area of the square adjacent to the hypothenuse.

Screenshot 2020-04-24 at 00.22.55

We can now apply our formulae to figure 2 :

+ = (then solve for c)

= 9 + 16

= 25

c = 5

6 thoughts on “How To Use Pythagoras Theorem? | Geometry | Maths | Tutorial”

  1. Although I never had problems understanding math, I wish I had visual explanations and proofs for formulae in school. Instead we were just given the formula and lots of examples to practice the application. So sad. Internet has made schooling so much easier and accesible! Your blog included! 🙂

    Liked by 1 person

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