Day 12

Math 444, Monday, 10/25

Sponsor Today's class is brought to you by the Geometric Mean.
Topics More similar triangles. Different points of view on right triangles. Triangles with shared angle that are not Thales figures with parallel sides.
Class Schedule
  • Class problems: Two similar triangle problems in a right triangle.
  • Application to construction of Geometric mean of a and b = sqrt (a*b) and inverse of a..
  • Class problem: Given triangle OAB with OA = 3, OB = 7 and AB = 6. If A' is on ray OA and B' is on ray OB, with OA' = 5/3 and OB' = 5/7, then what is A'B'? For a general discussion of problems like this, follow this link.
Assignments
New

Quiz 1 on Wednesday, 10/27

Supplies: Quiz Wednesday. Bring your drawing tools and your Construction Portfolio.

Due Today

Assignment 5B

Read: These sections of Berele-Goldman contain results we have explored in Lab and in class: 5.1 (tangents to lines), 5.3 (external tangents), 7.1 (circumcircles), 7.3 (inscribed circles).

Ongoing Assignment 5C

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