Maths Unit 23 – Pythagoras & Trigonometry

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Presentation transcript:

Maths Unit 23 – Pythagoras & Trigonometry Pythagoras is used to find a missing side when 2 other sides are known Example Trigonometry is used to find a missing angle when 2 sides are given or a missing side when one angle and side are given. 1. Is it a right angled triangle? 2. Label the triangle 3. Decide which triangle to use Opposite 4. Use the cover up method to decide what calculation to do Hypotenuse 10m _____ = 5.8m (1dp) Tan (60) Adjacent Key word definitions Pythagoras Theorem - In a right angled triangle the square of the long side is equal to the sum of the squares of the other two squares. It is stated in the formula a2 + b2 = c2. Right Angled Triangle – A triangle with a 90° angle in it. Squaring – The result of multiplying a number by itself. Square Rooting – The square root of a number is a value that when multiplied by itself, gives the number. E.g. 4 x 4 = 16 so the square root of 16 is 4. Trigonometry – part of mathematics which deals with relationships between angles and sides of triangles. Hypotenuse – the longest side of a right angled triangle. The side opposite the right angle. Adjacent- the side of the triangle that is next to the angle given or in question (excluding the right angle) Opposite – the side opposite the angle given or the angle in question (excluding the right angle)