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Law of Cosines 9.4. What we know so far: Right Triangle: SOH CAH TOA Right Triangle: SOH CAH TOA Not a right triangle: SSA then we use Law of Sines But.

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Presentation on theme: "Law of Cosines 9.4. What we know so far: Right Triangle: SOH CAH TOA Right Triangle: SOH CAH TOA Not a right triangle: SSA then we use Law of Sines But."— Presentation transcript:

1 Law of Cosines 9.4

2 What we know so far: Right Triangle: SOH CAH TOA Right Triangle: SOH CAH TOA Not a right triangle: SSA then we use Law of Sines But watch for the ambiguous case Not a right triangle: SSA then we use Law of Sines But watch for the ambiguous case What do we do if we know SSS or SAS??

3 Meet Professor Burger Prof Burger and Law of Cosines

4 Law of Cosines Use this when you know all the sides of a triangle (SSS) or you know 2 sides and an included angle (SAS).

5 A triangle has sides of 6, 12 and 15. Find the measure of the smallest angle.

6 In the same triangle of sides 6, 12 and 15, find the length of the median to the longest side.

7 A parallelogram has diagonals of length 20 and 12. If diagonals intersect to form a 60 degree angle, find the perimeter of the parallelogram.

8 Find the area of the quadrilateral with sides of length 6, 9, 12, 15. There is a 72 degree angle between the adjacent sides 6 and 15.

9 Homework: 9.4 page 352 2, 4, 10, 12-17


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