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Slide 2

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To work out angles in a (non right angle) triangle you need to use trigonometry which consists
of sine, cosine and tangent. Each of these different calculations apply to different parts of the
triangle. To remember which parts they apply to use:
SOHCAHTOA
That is: SineX=Opposite/Hypotenuse CosineX=Adjacent/Hypotenuse and TangentX=Opposite/Adjacent
As you can see each of the calculations applies to different sides of the triangle, below is a
diagram to show you where each side is on the triangle and how to find it.
Hypotenuse-always the longest side
X
Opposite-this side is opposite to
Adjacent-this side is touching/ the angle
adjacent to the angle…read more

Slide 3

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Explanation!
To work out the angle of a triangle you need to
Adjacent
apply the correct formula so first of all you need to
know which sides of the triangle you are using!
X
It's the hypotenuse and the adjacent, so using Hypotenuse
SOHCAHTOA you can see we need to use
Cosine.
Now we can insert the lengths of the Hypotenuse 5cm
3cm
and Adjacent sides into the formula:
CosX=3/6 X
6cm
Finally you must work out the formula:
3/6=0.5 X=0.5/Cos
Now click shift and Cos on your calculator to
divide 0.5 by Cosine and you are lest with the
angle X:
X=60 degrees
Questions…read more

Slide 4

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Work out angle X for each triangle!
6cm
4cm
X=70.5
X
X
8cm
X=30 2cm
What units do you give your answer to?
X
Degrees
10cm
17.5cm
X=60.25
Click anywhere for answers! Explanation…read more

Slide 5

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To work out lengths in a (non right angle) triangle you need to use trigonometry which
consists of sine, cosine and tangent. Each of these different calculations apply to different
parts of the triangle. To remember which parts they apply to use:
SOHCAHTOA
That is: SineX=Opposite/Hypotenuse CosineX=Adjacent/Hypotenuse and TangentX=Opposite/Adjacent
As you can see each of the calculations applies to different sides of the triangle, below is a
diagram to show you where each side is on the triangle and how to find it.
Hypotenuse-always the longest side
X
Opposite-this side is opposite to
Adjacent-this side is touching/ the angle
adjacent to the angle…read more

Slide 6

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Explanation!
To work out the length of a side you need to apply
Adjacent
X
the correct formula so first of all you need to know
which sides of the triangle you are using!
60
It can be either the hypotenuse and the opposite, Hypotenuse
or the adjacent and the opposite, so using
SOHCAHTOA you can see we can use Sine or
Tangent.
Now we can insert the lengths of the Hypotenuse X 3cm
and Adjacent sides into the formula:
60
Sin60=X/6
6cm
Finally you must work out the formula:
Sin60 x 6=X
Now click Sin and 60 on your calculator and then
multiply by 6 which gives you X:
X=5.19cm
Questions…read more

Slide 7

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