Tuesday, November 16, 2010

Using the Pythagorean Relationship, Homework Book

1. RED is the answer
The Pythagorean relationship can be used to determine the Length of the Hypotenuse of a right triangle when the lengths of the two Legs are known.

3. Question - Determine the length of each hypotenuse. Show your work.
a)
a squared + b squared = c squared
40cm squared + 9cm squared = c squared
(40x40) + (9x9) = c squared
1600cm + 81cm = c squared
The square root of 1681cm = c squared
41 cm squared = c squared


b)
a squared + b squared = c squared
12m squared + 35m squared = c squared
(12x12) + (35x35) = c squared
144m squared + 1225m squared = c squared
The square root of 1369m squared = c squared
37m squared = c squared

5. Question - Calculate the missing side length for each right triangle, to the nearest tenth of a centimetre. Show your work.

a)
a squared = c squared - b squared
a squared = 6 cm squared - 5 cm squared
a squared = (6x6) - (5x5)
a squared = 36cm squared - 25cm squared
The square root of 11 = a squared
a squared = 3.31cm squared



b)
a squared = b squared - c squared
a squared = 7cm squared - 12cm squared
a squared = (7x7) - (12x12)
a squared = 49cm squared - 144cm squared
The square root of 95 = a squared
a squared = 9.74


7. Question - A triangle is made up of two smaller congruent right triangles.



a)
a squared + b squared = c squared
4m squared + 2m squared = c squared
(4x4) + (2x2) = c squared
16+ 4 = c squared
The square root of 20 = c squared
4.5 = c squared


b)
a squared = c squared - b squared
a squared = 8m squared - 4.5 squared
a squared = 8m squared + 4.5m squared + 4.5m squared
a squared = 17m squared



SORRY ITS SO LATE GUYS :)
BY:KRIS G
ROOM:8-73

2 comments:

  1. Good Job Kris! I like how you used images to show your work. I think the numbers on the images were a bit to small. Next time, you should add a video and/or link to help us out a bit more! (:

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  2. Good Job Kris. I liked your pictures, but next time try to use a font that is easier to read. And next time instead of putting in "Using the Pythagorean Relationship, Homework Book" you should've put your name. Adding a video and a link will be very helpful. Other than that good job.. :)

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