 Think back to geometry. Write down the ways to prove that two triangles are congruent.

Section 6.1

 For a triangle with angle measures A, B, C and side lengths opposite those angles of a, b, c:  True for any triangle (acute, right, obtuse)

 Solving a triangle means finding all side lengths and angle measures  Use Law of Sines  A+B+C=180˚  For examples, you-try’s and homework, round side lengths and angle measures to 3 decimal places.  Law of Sines can be used to solve a triangle if 2 angles and 1 side are known (SAA or ASA) or two sides and an angle opposite one of them (SSA)

1. Start by drawing a rough sketch of a triangle (not to scale) 2. Find the third angle measure (A+B+C=180˚) 3. Use Law of Sines twice to find the two missing side lengths 4. Draw a better version of your triangle (to scale) 5. Check that your longest side is across from biggest angle, shortest side is across from smallest angle

 Solve the triangle

 Page 607 #1-13 Every Other Odd  Page 608 #17-29 Every Other Odd  Page 608 #33-45 Every Other Odd

 Find all angles θ in the interval [0, 2π) such that

 Given two side lengths and an angle opposite one of them, there could be 0, 1, or 2 triangles

 Assume a, b, and A are given  If, then there are no triangles  If, then there is one right triangle  If, then there are two triangles  If, then there is one triangle  The Law of Sines will give you the number of triangles

 Solve the triangle

 Page 607 #1-13 Every Other Odd  Page 608 #17-29 Every Other Odd  Page 608 #33-45 Every Other Odd

 Solve the triangle (hint: there are two solutions)

 An oblique triangle is one that does not contain a right angle  Area is one half the product of the length of two sides and the sine of the included angle

 Find the area of a triangle with the following measurements

 Page 607 #1-13 Every Other Odd  Page 608 #17-29 Every Other Odd  Page 608 #33-45 Every Other Odd