Angles of a Triangle
description
Transcript of Angles of a Triangle
![Page 1: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/1.jpg)
Angles of a Triangle
The three angles of a triangle have a sum equal to 180 degrees.
A + B + C = 180
B
A
C
![Page 2: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/2.jpg)
Example
A triangle has three angles , A , B and C.
Angle B is 10 less than two times angle A.
Angle C is 10 more than three times angle
A. Find the measure of each angle.
![Page 3: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/3.jpg)
Supplementary Angles
Angles A and B have a sum of 180 degrees.A + B = 180 A = 180 – B B = 180 - A
BA
![Page 4: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/4.jpg)
Complementary Angles
Angles A and B have a sum of 90 degrees.A + B = 90 A = 90 - B
AB
![Page 5: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/5.jpg)
Example
Find the angle such that its supplement
added with its complement equals 230
degrees.
![Page 6: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/6.jpg)
RectanglesL
W
Area = (Length)(Width) = LW
Perimeter = 2W + 2L
Note: These formulas are just algebraic expressions. If we know the values for the variables, then we can Evaluate the area and perimeter.
![Page 7: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/7.jpg)
Example7 ft
3ft
Find the area and perimeter.
A = LW = (7)(3) = 21ft²
P = 2W + 2L = 2(3) + 2(7) = 6 +14 = 20 ft
![Page 8: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/8.jpg)
Perimeter
16 m
W
Find the width if the perimeter is 56 meters.
![Page 9: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/9.jpg)
Triangles
Base = b
Height=h
Area = bh 21
![Page 10: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/10.jpg)
Triangle
Area =48 cm²
12cm
Find the height , h
![Page 11: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/11.jpg)
Circles
14.3
Radius = r
Area = r²
Circumference = 2 r
![Page 12: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/12.jpg)
Circles
4 meters
Find the approximate area and circumference.
![Page 13: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/13.jpg)
Swimming Pool20ft
14ft
5ft
7ft
![Page 14: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/14.jpg)
Volume of a Rectangular Solid
LW
H
Volume = LWH
![Page 15: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/15.jpg)
Volume of a Sphere
Radius=r
³34 rV
Find the volume if the radius = 3 meters
![Page 16: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/16.jpg)
Vertical Angles are formed when two lines are intersected.
ABC
D
Angle A = Angle D and
Angle C = Angle B
![Page 17: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/17.jpg)
Find the measure of each Angle
(10x+15)
(12x-3)
![Page 18: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/18.jpg)
Find the measure of each angle
(3x +10)(5x+10)
![Page 19: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/19.jpg)
Solving Formulas for one variable
3259
CF
If C = 25, find F
Solve the formula for C
If F = 82, find C
![Page 20: Angles of a Triangle](https://reader033.fdocuments.net/reader033/viewer/2022042704/56813b6e550346895da476b1/html5/thumbnails/20.jpg)
Solve each formula for the stated variable.
a)
b) P = 2W + 2L , for W
c) Ax + By = C , for y
d) A = p + prt , for r
bHA21
For b