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

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Presentation transcript:

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

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

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

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

Homework Check

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!!!!

What is the HYPOTENUSE of this right triangle? 8 in c a 2 + b 2 = c = c = c = c 2 Now ESTIMATE like Section in ≈ c

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 = c = c = c 2 Calculator time! 2.92 mi ≈ c

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 = c = c = c 2 Calculator time! 4.08 km ≈ c The diagonal is about 4.08 km.

Homework Do HoffmaSheet 5 – 2