Special Right Triangles - PowerPoint PPT Presentation

About This Presentation
Title:

Special Right Triangles

Description:

We make a living by what we get, but we make a life by what we give. -- Winston Churchill Special Right Triangles Chapter 8 Section 3 Learning Goal: Use properties of ... – PowerPoint PPT presentation

Number of Views:219
Avg rating:3.0/5.0
Slides: 13
Provided by: Pam133
Learn more at: https://www.cisd.org
Category:

less

Transcript and Presenter's Notes

Title: Special Right Triangles


1
Special Right Triangles
  • We make a living by what we get, but we make a
    life by what we give. -- Winston Churchill
  • Chapter 8 Section 3
  • Learning Goal Use properties of 45-45 -90 ,
    and
  • 30 -60 -90 Triangles

2
45-45-90 Triangles
x
  • Special Right Triangle

45
d2 x2 x2
d
x
d2 2x2
Simplify
vd2 v 2x2
d xv 2
Three sides of lengths x, x, xv2
What did we learn about ratios of sides?
Ratio of a 45-45-90 triangle is
1 1 v2
3
45-45-90 Triangles
  • Find the missing side

6
a 4v2 cm
4
45-45-90 Triangles
3
8
45
21
14
5
Special Right Triangles
A 24.5 mm
6
30-60-90 Triangles
Consider an equilateral ?
30
a2 (2x)2 x2
2x
2x
Simplify
a2 4x2 x2
a
a2 3x2
60
60
va2 v3x2
x
x
a xv3
Three sides of lengths x, 2x, xv3
Ratio of a 30-60-90 triangle is
Ratios of sides?
1 v3 2
7
30-60-90 Triangles
  • Find the missing sides

4
60
10
5
8v3 3
30
5v3
8
30-60-90 Triangles
60
30
8
6
60
4v2
Find the Altitude of the ?
9
Special Right Triangles
Refer to the figure. Find x and y.
10
Special Right Triangles
The length of the diagonal of a square is
cm. Find the perimeter of the square.
60 cm
11
Special Right Triangles
The side of an equilateral triangle measures 21
inches. Find the length of an altitude of the
triangle.
12
Homework
  • Special Right Triangles 45-45-90, 30-60-90
Write a Comment
User Comments (0)
About PowerShow.com