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## SS1: MATHEMATICS - 3RD TERM

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Lesson 4, Topic 2
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# Pythagoras Theorem

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#### Topic Content:

• Pythagoras Theorem

From the geometrical point of view, Pythagoras theorem gives the relation between areas of squares on the sides of a right-angled triangle. Also, from an algebraic point of view, the formula below can be used to solve right-angled triangles.

⇒ $$\scriptsize a^2 = b^2 \: + \: c^2$$

which is $$\scriptsize Hyp^2 = Opp^2 \: + \: Adj^2$$

### Pythagorean Triple:

In ΔABC above, the sides are 3 cm, 4 cm and 5 cm. This is an example of a Pythagorean triple, i.e. a set of 3 whole numbers which can be taken as the lengths of the sides.

$$\scriptsize 5^2 = 4^2 \: + \: 3^2$$

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