1. Descibe, using words and symbols, the relationship among the areas of the three squares shown.

Work

225cm²+64²= 289cm²

The sum of the areas of the two smaller squares is equal to the area of the largest square.

6. a) Write an addition statement using the areas of these three squares.

b) What is the side length of each square?

c) Describe, using words and symbols, the relationship between the side lengths of each square.

Work

a) 25cm²+144cm²= 169cm²

169cm²= 169cm²

b) √25cm²= 5cm

√144cm²= 12cm

√169cm²= 13cm

c) The sum of the areas of the two smaller squares is equal to the area of the largest square.

a² + b²= c²

5² + 12²= 13²

13. A small triangular flower bed has a square stepping stone at each of its sides. Is the flower bed in the shape of a right triangle? Explain your reasoning.

Work

4800cm²+4800cm²= 9600cm² not 9800cm²

No, the shape of the flower bed is not a right triangle because the sum of the areas of the two small squares does not equal the area of the largest square.

20. A right triangle has sides of 3cm, 4cm, and 5cm. Attached to each side is a semi-circle instead of a square. Describe the relationship between the areas of the semi-circles.

Work

╥ x r²= area of a circle

╥= 3.14

3 ÷ 2= 1.5

1.5²= 2.25

3.14 x 2.25= 7.065

4 ÷ 2= 2

2²= 4

3.14 x 4= 12.56

5 ÷ 2= 2.5

2.5²= 6.25

3.14 x 6.25= 19.625

7.065 ÷ 2= 3.5325

12.56 ÷ 2= 6.28

19.625 ÷ 2= 9.8125

3.5325 + 6.28= 9.8125

The sum of the areas of the two smaller semi-circles is equal to the area of the largest semi-circle.

Here's a link to learn more about The Pythagorean Theorem.

Nice post Kim. I liked how you used pictures from the textbook for your post. I also liked the link and your video. Next time add a little more color to your post. Other than that, great job.

ReplyDeleteNice post Kim. I really like the colors in your post. I also like the video. Great work.

ReplyDeleteGood job Kim! Your post was unique from the others because you asked the questions then answered them, but next time add a link.

ReplyDeleteGreat post Kim, I liked how you used pictures from the textbook for your post. I liked that you used the right amount of colors for your blog and I liked that you colored the work at the end to make each part on what its suppose to be.

ReplyDeleteFantastic post Kim, I liked how you evenly spaced your work. I also found it interesting how you added a video and a link. Next time i would think to add a bit more color or bold some things, it looks kind of bland. Other then that I found it a really well done post.

ReplyDeleteNice post, Kim. I liked how it was neat and organized, they way you left a few spaces. The video and link helped me alot too. Next time, add more color to the important words so that way it can maybe more helpful for people. Other than that, great job.

ReplyDeleteGreat post, Kim! It was quite neat and organized, and the work was evenly spaced out. The link and the video helped me, too. Next time, you should put a bit more color, especially to the important words, or bold it. Other than that, it was a great scribe!

ReplyDeleteThanks for the comments guys! They were very helpful.

ReplyDeleteGreat job, Kim! I liked everything you did! I loved all the colours and all your pictures! Good job for putting a video too!

ReplyDelete