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 LEGSc is called the HYPOTENUSE

a2 + b2 = c2

NOTE:

When solving REAL WORLD problems, use only positive values!!!!

What is the HYPOTENUSE of this right triangle?

8 in

8 in

ca2 + b2 = c2

82 + 82 = c2

64 + 64 = c2

128 = c2

Now ESTIMATE like Section 1

11.3 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

a2 + b2 = c2

2.52 + 1.52 = c2

6.25 + 2.25 = c2

8.5 = c2

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 kmWhat do you see that we can use?

a2 + b2 = c2

42 + 0.82 = c2

16 + 0.64 = c2

16.64 = c2

Calculator time!

4.08 km ≈ c

The diagonal is about 4.08 km.

Homework

• Do HoffmaSheet 5 – 2