What is Pythagorus Theorem ? Find the length of BC if given a right angle triangle ABC where AB is 8cm and the length of the hypotenuse AC is 10cm ?

Pythagorus Theorem states that the side of a 'Right Angled Triangle' can be found by using the formulae c2 = a2 + b2 , where c is considered as hypotenuse. In our case the hypotenuse is AC and by putting it in order we get AC2 = AB2 + BC2. Start putting the legths provided we have 102 = 82 + BC2 and Rearranging gives us: BC2 = 102 - 82. BC2 = 100 - 64. BC2 = 36. BC = √36.  BC = 6 So, the length of the side BC is 6cm.  

MH

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