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Trigonometry: what is it, and how do I do it?

Trigonometry is used in maths to find angles and the lengths of edges in triangles. There are three main operations: sin, cos and tan, and these are used to convert the information you have about a triangle,...
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Answered by Amy R. Maths tutor
4761 Views

what is the Pythagoras theorem?

The pythagoras theorem is the rule used to work out the length of side of a right angle triangle with one length mising and two known lengths of side. The rule states that a 2 = b 2 +c 2 . "a" repr...
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Answered by Joseph K. Maths tutor
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How do I multiply mixed numbers?

Let's use the example of (2+3/4) x (1+5/7) The first step when given a question about mixed numbers is to turn them into top-heavy or improper fractions, so that the maths is easier. In the case of 2 + 3/4, ...
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Answered by Natasha T. Maths tutor
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ABC and DEF are similar isoceles triangles. AB=BC=5cm, AC=6cm, DF=12cm. What is the area of DEF?

We first split ABC into two right-angled triangles. We name the midpoint of AC, M. AM=1cm, and BM=sqrt(5 2 -3 2 )=4 by Pythagoras. The area of ABC =1/2 AC BM=1/2 6 4=12. We can see that the side lengths of D...
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Answered by Peter G. Maths tutor
3940 Views

ABC is an acute-angled triangle. BA=7cm and BC=8cm. The area of triangle ABC is 18 cm^2 . Work out the size of angle BAC. Give your answer correct to 3 significant figures. You must show all your working.

Draw the triangle ABC and fill in the information given i.e. lengths of BA and BC and identify the angle we are looking for i.e angle BAC Looking at the formulas given identify which one we can use. We have ...
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Answered by Anna M. Maths tutor
12509 Views