Loading presentation...

Present Remotely

Send the link below via email or IM

Copy

Present to your audience

Start remote presentation

  • Invited audience members will follow you as you navigate and present
  • People invited to a presentation do not need a Prezi account
  • This link expires 10 minutes after you close the presentation
  • A maximum of 30 users can follow your presentation
  • Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

DeleteCancel

Area and Trigonometry

No description
by

Mr Mattock

on 1 February 2018

Comments (0)

Please log in to add your comment.

Report abuse

Transcript of Area and Trigonometry

Area and Trigonometry
Starter
Find the area of these triangles:
Examples
Find the area of these triangles:
Using trigonometry for area
How can we find the perpendicular height of this triangle? Hence how can we find the area of this triangle?
L.O. - Use trigonometry to find area of non-right triangles.
5 cm
12 cm
13 cm
10 cm
16 cm
10 cm
4 cm
9 cm
Starter
Find the area of these triangles:
5 cm
12 cm
13 cm
10 cm
16 cm
10 cm
4 cm
9 cm
30 cm
2
18 cm
2
6 cm
48 cm
8 cm
23
o
Using trigonometry for area
How can we find the perpendicular height of this triangle? Hence how can we find the area of this triangle?
8 cm
23
o
h
8
= sin 23
h = 8 sin23
12 cm
12 cm
Area = (12)(8 sin 23)
1
2
Using trigonometry for area
The area of a non-right triangle can be given by the formula:
b
x
o
a
b sin x
Area = (a)(b sin x)

Area = ab sin x
1
2
1
2
13 cm
9 cm
107
o
8 cm
11 cm
9
o
Examples
Find the area of these triangles:
13 cm
9 cm
107
o
8 cm
11 cm
9
o
Area = (13)(9) sin 107

Area = 55.9 cm
2
1
2
Area = (8)(11) sin 9

Area = 6.88 cm
2
1
2
Activity
Complete the area of triangles worksheet
Activity
Complete the area of triangles worksheet
(a) 9.58 (b) 44.5 (c) 26.2

(d) 17.3 (e) 63.3 (f) 28.7

Extension

(a) 202.1 (b) 72.2
Plenary
Find the area of the blue shaded segment.
Plenary
Find the area of the blue shaded segment.
Area of sector:

x x 24

= 603.18... cm
120
360
2
Area of triangle:

(24)(24) sin 120

= 249.41.... cm
1
2
Area of Segment =
603.18... - 249.41...
=353.8 cm
2
2
2
Activities
Activity
Answers

Key
Examples

Worked
Example

Worked
Example

2
Full transcript