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Triangle PQR is a right angled triangle. PQ is the hypotenuse and is 5cm long and QR has length 3cm. What is the length of side PR? Show your working.

Pythagoras' theorem is used to calculate the lengths of the sides of a right angled triangle. The theorem is as follows : a 2 = b 2 + c 2 , where a is the length of the hypotenuse. The hypotenuse is the side...
KM
Answered by Khadija M. • Maths tutor
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What is the difference between mutually exclusive and indepedent events?

Let's say that we have two events and we'll call them event A and event B. If these events were mutually exclusive then these events would not be able to occur at the same time. For example, if Real Madrid a...
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Answered by Callum S. • Maths tutor
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Explain Hume's distinction between matters of fact and relations of ideas (5)

David Hume, an empiricist, separated knowledge into categories - "matters of fact" and "relations of ideas". Hume argues that every affirmation which is certain, such as geometry, arithme...
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Answered by Amy E. • Philosophy tutor
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Using a case study, describe a successful sustainable transport scheme

In Freiburg, sustainable and efficient transport has been developepd with the introuction of 500km of cycle lanes. The significantly reduces CO 2 emissions in the city and encourages a sustainable method of ...
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Answered by Elysia H. • Geography tutor
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How do I solve an algebraic expression when the unknown is on both sides of the equals sign?

the basic idea is to get everything with the unknown (let's assume this is x) on one side of the equals and everything else on the other side. To do this we use the 'inverse idea' to move our items onto diff...
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Answered by Coral R. • Maths tutor
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