4.7 – Square Roots and The Pythagorean Theorem Day 2.

9
4.7 – Square Roots and The Pythagorean Theorem Day 2

Transcript of 4.7 – Square Roots and The Pythagorean Theorem Day 2.

Page 1: 4.7 – Square Roots and The Pythagorean Theorem Day 2.

4.7 – Square Roots and The Pythagorean TheoremDay 2

Page 2: 4.7 – Square Roots and The Pythagorean Theorem Day 2.

Finding a Missing Side to a Right Triangle:

Remember a2 + b2 = c2?  

Find the length of the missing side of the given right triangle

a =

b =

c =

3

4

c

3

4

?

Page 3: 4.7 – Square Roots and The Pythagorean Theorem Day 2.

Solution:

+ =

+ =

=

=

 

 

23

c

2 2 2 a b c

24 2c9 16 2c

25 2c

5

25 2c

Page 4: 4.7 – Square Roots and The Pythagorean Theorem Day 2.

 

Find the length of the missing side of the given right triangle

a =

b =

c =

1.5

1.7

?1.7

a

1.5

Page 5: 4.7 – Square Roots and The Pythagorean Theorem Day 2.

Solution:

+ =

+ =

=

=

 

 

2a

a

2 2 2 a b c 21.5 21.7

2a 2.25 2.892.25 2.25

0.8

0.642a2a 0.64

Page 6: 4.7 – Square Roots and The Pythagorean Theorem Day 2.

 

Find the length of the missing side of the given right triangles. WRITE OUT EACH ALGEBRAIC STEP!

 

9

12

c

2225 c

2 2 29 12 c 281 144 c

2225 c15 c

Your Turn:

Page 7: 4.7 – Square Roots and The Pythagorean Theorem Day 2.

 

 2 81 a

2 2 212 15 a 2 144 225 a

9 a

15

12

a

2 81a

Page 8: 4.7 – Square Roots and The Pythagorean Theorem Day 2.

 

 2 6.25 b

2 2 26 6.5 b 236 42.25 b

2.5 b

2 6.25b 6.5

6

b

Page 9: 4.7 – Square Roots and The Pythagorean Theorem Day 2.

Homework :

Section 4.7

pages 253-255

#’s 49-65 ALL


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