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

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The Law of Sines Section 14.1 MM4A6 & MM4A7

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

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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.

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For ABC, the law of sines states the following:

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

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Example 2 Find the area of JKL to the nearest tenth of a square unit if m

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

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Assignment Page 891, 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!!

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Do Now 1.Find the area of ABC, m

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Pg. 891, all in.² ft² in.² cm² km² ft² in.² m² ft² cm² km² ft² m² ft²

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

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Example 5 Solve PQR given the m

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Pg. 891,

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Homework Pg. 891, #s all

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Do Now Find the area of ABC, m

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Pg. 891, ODD 25. c = a = c = A=101, b=3.5, a= C=83, b=12.3, c= A=80, b=10, c= A=97, a=20.8, c= B=101, a=12.3, c=13.6

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

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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

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

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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

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Pg. 985, 14.1, 1-14 all in² m² 3.94 cm² in² 5.b=8.7 6.c= c=7.6 8.b= 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

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Workbook pg. 88, C=38, b=4.4, c=3.1 8.A=35, c=21.7, a= 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.

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