TriangleAuthor: Kit

Date: 2013-12-18

Introduction

• In this slide show, we will talk about the right triangle and some properties• Pythagoras’ Theorem• Sin, Cos, Tan

Pythagoras’ Theorem

• In a right angle triangle, if we know the length of 2 out of 3 sides, then we can find the remaining side.

𝑎2+𝑏2=𝑐2

Pythagoras’ Theorem

• Please decide which is a? which is b? and which is c?

Pythagoras’ Theorem

• a = 3, b = 4, c = ?• a = 5, c = 13, b = ?• b = 8, c = 10, a = ?

Pythagoras’ Theorem

• Proof: Hint by area

Trigonometry

• Hypotenuse• Opposite• Adjacent• Angle

Trigonometry

• Determine whether they are H, O, A, ang

Trigonometry

• What is the relationship?

𝑡𝑎𝑛θ=OA

𝑐𝑜𝑠θ=AH

sinθ=OH

Trigonometry

• Find sin, cos, tan for the following triangle