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Knowledge Base: Mathematics Topic 27: Pythagoras and Trigonometry Year 9 | Autumn Term, 2nd Half
By the end of this topic you should be able to:
• Identify and construct different types of triangle
• Use angle properties of different types of triangle
• Understand Pythagoras theorem
• Use Pythagoras theorem to find missing lengths
• Understand that ratios of lengths are sin cos and tan
• Use trigonometry to find missing lengths and angles
Worked examples
Language
Meaning
Example
Pythagoras theorem
Hypotenuse
The longest side of a rightangled triangle. (Always opposite the right-angle.)
Opposite side
The side in a right-angled triangle directly opposite the angle that is being considered.
Adjacent side
The side in a right-angled triangle adjacent to the
angle that is being considered.
Important things to remember:
1) The interior angles of a triangle add up to 180° 2) c2 = a2 + b2 where c is the hypotenuse
3)
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