1. Chapter 5 Unit Question How do we solve applications of equations in algebra?

2. Open Learning Logs Date on Left…Section 5 – 2 on right

3. Make a list of everything you can remember about this shape 5 – 2 Warm – Up a b c

4. Section 2 How do we apply the Pythagorean Theorem to solve problems?

5. Homework Check

6. We use the Pythagorean Theorem to solve! The following is a generic right triangle… a b c Where… a and b are called LEGS c is called the HYPOTENUSE a 2 + b 2 = c 2 NOTE: When solving REAL WORLD problems, use only positive values!!!!

7. What is the HYPOTENUSE of this right triangle? 8 in c a 2 + b 2 = c 2 8 2 + 8 2 = c 2 64 + 64 = c 2 128 = c 2 Now ESTIMATE like Section 1 11.3 in ≈ c

8. To get to school, Emily travels 2.5 miles EAST and 1.5 miles NORTH. If she could travel in a straight line, how far would she travel? HINT: Draw the situation! 2.5 mi 1.5 mi a 2 + b 2 = c 2 2.5 2 + 1.5 2 = c 2 6.25 + 2.25 = c 2 8.5 = c 2 Calculator time! 2.92 mi ≈ c

9. Central Park in New York City in shaped like a rectangle. The park is 0.8 km wide and 4 km long. About how far is it from the South East corner to the North West corner? HINT: Draw the situation! 0.8 km 4 km What do you see that we can use? a 2 + b 2 = c 2 4 2 + 0.8 2 = c 2 16 + 0.64 = c 2 16.64 = c 2 Calculator time! 4.08 km ≈ c The diagonal is about 4.08 km.

10. Homework Do HoffmaSheet 5 – 2