Tuesday, November 16, 2010

Pythagoras Textbook Questions and Answers


5, 8, 11, and 14!
QUESTION #5:
a) What is the area of each square attached to the legs of the right triangle?


b) What is the area of the square attached to the hypotenuse?
c) What is the length of the hypotenuse?

ANSWER:
a.) 6 x 6 = 36
8 x 8 = 64

b.)a² + b² = c²
6² + 8² = c²
( 6 x 6 ) + ( 8 x 8 ) = c x c
36 cm² + 64 cm² = c²
100 cm² = c²
The area of the square is 100 cm.


c.) c² = √100 cm²
c = 10 cm

The length of the hypotenuse is 10 cm.
QUESTION #8:
The side view of a
ramp at a grocery
store is in the shape of
a right triangle. Determine the length
of the ramp, to the nearest centimetre.

ANSWER:
a² + b² = c²
50² + 200² = c²
( 50 x 50 ) + ( 200 + 200 ) = c x c
2500 cm² + 40 000 cm² = 42500 cm²
√42500 cm² = 206 cmQUESTION # 11:
The right triangle below has a square
attached to its hypotenuse. What is the
perimeter
of the triangle? Give your
answer to the nearest tenth of a centimetre.

ANSWER:
√914 = 30.2

a² + b² = c²
17² + b² = 30.2²
b² = 30.2 ² - 17²
b² = ( 30.2 x 30.2 ) - ( 17 x 17 )
b² = 912.04 cm² - 289 cm²
b² = 623.04
b² = √623.04
b = 24.9
The perimeter is 72.1 m.

QUESTION #14:
What are the lengths of b and c? Write your answer to the nearest tenth of a metre where
appropriate.

ANSWER:
FIRST TRIANGLE:

a² + b² = c²
3² + b² = 5²
b² = 5² - 3²
b² = ( 5 x 5 ) - ( 3 x 3 )
b² = 25 m² - 9 m²
b² = 16 m²
b² = 16m²
b = 4 m

SECOND TRIANGLE:

a² + b² = c²
6² + 4² = c²
( 6 x 6 ) + ( 4 x 4 ) = c x c
36 m² + 16 m² = 52 m²
c² = 52 m²
c = 7.2

HERE'S A VIDEO FOR YOU TO WATCH :)







HERE ARE SOME LINKS:




HOMEWORKS:
MATH TEXTBOOK. pg 104 - 105
MATH HOMEWORK BOOK pg. 30 - 31

IF I MADE A MISTAKE, PLEASE COMMENT BELOW AND CORRECT ME :)


9 comments:

  1. GREAT JOB BENNETTE! Your scribe was understandable, neat, oraganized, colorful, i like how you added videos, pictures and links. Although i spotted a typo ;) instead of "question#5" you put "question#15" but no biggie :) Keep up the good work!

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  2. Sorry, I'll change it right away :)

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  3. Good job, Bennette! As Angel said, your scribe is easy to understand, and also organized. I like how you added 2 videos instead of one, and many links. No mistakes to be changed! Keep up the good work. :)

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  4. WOW! Great Job Bennette! =) You included everything! I don't think you missed a thing, keep up the excellent work!

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  5. Great job Bennette! I liked how you had a videos, links , color, pictures, information, and how you put the question in your scribe. Also, your scribe is very neat, organized, and easy to understand. Keep it up! ;)

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  6. Good Job Bennette!! I liked how your scribe is very understandable and i like how you put colors,links and a video. You did an awesome job! Keep Up the Goodwork!

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  7. Good job Bennette, i like the colours and everything. Your scribe is also very neat. I dont have any negative comments so keep it up :)

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  8. Amazing job Bennette! I like how it is very neat and you used lots of colors. I like how links and videos too!! Keep it up :)

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  9. Awesome Job Bennette! I liked everything about your scribe, it was well explained very organized and easy to understand. Great job on posting links, videos and pictures of your own work. Keep it up!

    ReplyDelete