Download presentation

Presentation is loading. Please wait.

Published byCaleb Soto Modified over 3 years ago

1
Merrill pg. 765, 10-18 feet meters feet meters meters ° 16. 1° ° 18. x=63°, y=27°, z=63°

3
The Law of Sines Section 14.1 MM4A6 & MM4A7

4
Essential Question How do I solve problems using the Law of Sines?

5
**Important information:**

To find the area of a triangle using the sine function multiply one-half by the product of two sides and the sine of the included angle. K = ½ (side)(side)(Sin of included angle) Law of Sines: the ratio of the sine of an angle to its opposite side is the same for all angles in a triangle.

6
**For ABC, the law of sines states the following:**

7
Example 1 Find the area of ∆RST to the nearest tenth of a square unit.

8
Example 2 Find the area of ∆JKL to the nearest tenth of a square unit if m<K=59°, m<L=88°, side k=6.7in, and side l=8in.

9
Example 3 Find the area of ∆XYZ to the nearest tenth of a square unit.

10
**Assignment Page 891, 10-23 ALL (make the angle in #22 B instead of C)**

Using given information, ROUND all angles to the nearest WHOLE NUMBER before you work the problem!!

11
Do Now Find the area of ∆ABC, m<A=51°, m<B=62°, side a=7 in., and side c=5.2

12
**Pg. 891, 10-23 all 14.1 in.² 30 ft² 42.9 in.² 24.7 cm² 25.2 km²**

ft² cm² km² ft² m² ft²

13
Example 4 Use the Law of Sines to find a & b.

14
Example 5 Solve ∆ PQR given the m<Q=115°, m<P=32°, and side p=5.6

15
Pg. 891, 24-29 8.6 8.3 13.8 9.6 15.8 17.1

16
Homework Pg. 891, #’s all

17
Do Now Find the area of ∆ABC, m<A=57°, m<B=68°, side a=5.6 in., and side c=7.1 Solve ∆ XYZ given the m<Y=119°, m<X=47°, and side x=6.5

18
Pg. 891, ODD 25. c = 8.3 27. a = 9.6 c = 17.1 31. A=101, b=3.5, a=7.5 33. C=83, b=12.3, c=13.8 35. A=80, b=10, c=3.5 37. A=97, a=20.8, c=15.5 39. B=101, a=12.3, c=13.6

19
Continued… 41. A=80, a=13.2, b= B=112, a=8.4, c=4.6

20
Pg. 891, even 24. b = b = a = C=85, a=17.3, c= B=100, b=28.8, c= C=95, a=5.9, b= C=80, b=7.4, c=11.4

21
Continued… 38. A=80, a=12.3, c= C=95, a=10.3, b= A=105, b=4.7, c=6.6

22
Info… Quiz tomorrow over 14.1: finding the area of a triangle and solving triangles using the Law of Sines Today, do page 985, 14.1, 1-14 Worksheet

23
**Pg. 985, 14.1, 1-14 all 144.5 in² 16.6 m² 94 cm² 8.7 in² b=8.7 c=54.1**

9. B=95, a=8.2, c= A=123, b=16.3, c= B=55, a=4.4, c= A=98, b=27.1, c= B=86, b=15.6, c= B=45, a=19.2, c=19.9

24
Workbook pg. 88, 1-12 25.5 24.8 16.7 29.7 5.6 28.9 C=38, b=4.4, c=3.1 A=35, c=21.7, a=12.7 9. C=45, a=25.8, c= B=44, a=5.5, b= C=82, a=15.5, c= A=75, a=82.9, c= ft.

Similar presentations

OK

By D. Fisher Geometric Transformations. Reflection, Rotation, or Translation 1.

By D. Fisher Geometric Transformations. Reflection, Rotation, or Translation 1.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Hrm ppt on recruitment portal Ppt on 2 stroke ic engine works Ppt on dsp Ppt on applied operational research ppt Ppt on environmental awareness Ppt on power system stability ball Ppt on national education day 2016 Ppt on let us preserve our heritage Ppt on collection of data for class 11 Ppt on scramjet engines