1. 03.17.10 Do Now You’re helping a friend move. You want to take a round table with diameter of 10 feet and get it through the doorway that is 7’ x 3’. If you angle it, will it fit?

2. 03.17.10 Do Now – Part Deux Obviously it won’t fit. What is the greatest diameter the table could have?

3. 8-2 Converse to the Pythagorean Theorem Objective: Use the Converse of the Pythagorean Theorem to classify triangles.

4. To Review: The Pythagorean Theorem

5. The Converse of the Pythagorean Theorem: If the square of the largest side of a triangle equals the sum of the squares of the other two sides, then the triangle is a right triangle., then If

6. Implications of the Converse of the Pythagorean Theorem: If the square of the largest side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is obtuse. If c 2 > a 2 + b 2, then ab c

7. Implications of the Converse of the Pythagorean Theorem: If the square of the largest side of a triangle is less than the sum of the squares of the other two sides, then the triangle is obtuse. If c 2 < a 2 + b 2, then ab c

8. Ex. 1: Classify the triangles below.

9. Ex. 2: Classify the triangles below. 14 24

10. Ex. 3: Donna is building a deck on the side of a house as shown below. If she forgets her T-square, how can she tell if she has set the corners at right angles (aka “square”) to each other. House Deck 15’ 36’

11. Ex. 4: Dan is building a ramp for his board. He knows that in order to be stable, the ramp should be set at a right angle to the ground. If the actual sloped portion is 3 m long, the ramp is 2 m high, and the base length is 4.2 m will it be stable according to what Dan already knows?