Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

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Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem

Transcript of Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Page 1: Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Section 3-5 p. 137

Goal – to solve problems using the Pythagorean Theorem

Page 2: Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Pythagorean Theorem The Pythagorean Theorem tells us what the relationship is between the legs and hypotenuse of a right triangle is.

a

b

c

Page 3: Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Pythagorean Theorem

2 2 2c a b

a = 3

b = 4

c = ?

Page 4: Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Pythagorean Theorem

2 2 2c a b a = ?

b = 9 c = 12

Page 5: Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Pythagorean Theorem

2 2 2c a b

Find the length of the other leg if one leg is equal to 5 inches and the hypotenuse is equal to 13 inches.

Page 6: Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Pythagorean Theorem

2 2 2c a b

The measure of three sides of a triangle are 18, 24, and 30. Is this a right triangle?

Page 7: Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Pythagorean Theorem2 2 2c a b

How long is the string of the kite?

Page 8: Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Students

2 2 2c a b

10 cm

b = ?

15 cm

Page 9: Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Pythagorean Theorem

2 2 2c a b

a = 7

b = 23c = ?

Page 10: Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Homework:

Practice 3-4 (Day 1)

Word Problems (Day 2)