Special Right Triangles

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Presentation transcript:

Special Right Triangles Objective: Students will determine shortcuts for sides of 2 special right triangles and apply this to problems.

45-45-90 Triangle What is another name for this triangle? Do investigation 1 as a table, page 491 What pattern do you notice in the table? What rule could you come up with?

30-60-90 Triangle If you take an equilateral triangle and cut it in half with an altitude your, what does it do to the triangle? Bisects a base Bisects an Angle Forms a right angle Forms a 30-60-90 triangle What is the relationship between the bisected side and the now hypotenuse? Can you calculate the remaining leg length? Work through investigation 2 on page 492 as a group What did you determine?

Examples

Examples

Homework Pg493 1-3,7-9,11