Pythagorean Relationship.

Homework Book pg. 33

Numbers 4, 6, 7.

4.) The foot of a ladder is 1m from a wall. If the ladder is 6cm long, how far up the wall does the ladder reach? Give the answer to the nearest tenth of a metre. Show your work.

a² - b² = c²

6² - 1² = c²

(6x6) - (1x1) = c²

36cm² - 1cm² = 35 cm²

35cm² = c²

√35cm² = √c²

5.9cm² = c² (round up will be 6)

It will be 5.9/6 far up the wall.

6.) The width of a rectangle is 8cm, and its diagonal is 17cm.

a) Calculate the length of the rectangle. Show your work.

c² - b² = a²

17² - 8² = a²

(17x17) - (8x8) = a²

289cm² - 64cm² = 225cm²

225cm² = c²

√225cm² = √c²

15cm² = c²

b) Calculate the area of the rectangle.

120cm²

7.) A quadrilateral has a width of 17cm and a length of 26cm. A diagonal is 31cm. Is the quadrilateral a rectangle? Justify your answer.

a² + b² = c²

26² + 17² = c²

(26x26) + (17x17) = c²

676cm² + 289cm² = 965cm²

965cm² = c²

√965cm² = √c²

31.06cm²

Answer: No, the corners do not meet at right angles because 17² + 26² ≠ 31²

Enjoy this video. Hope it helps.

Great job, Raelynn! Next time add a link to enhance your presentation!

ReplyDeleteThe link is where it says "Pythagorean Relationship". (:

ReplyDeleteGreat job Raelynn, I liked that you have the answers for your questions. Although you didn't have letter B number 6, overall great job.

ReplyDeleteGreat scribe, Raelynn! The pictures are well done, and I liked how you had answers for each question. It was colorful as well. Good job!

ReplyDeleteGreat job Raelynn! I loved the pictures in your post, and I liked the colours you used to identify the key words in the text. Your post was very well done and it was very understandable. Again, good job!

ReplyDeleteGreat post Raelynn. I really like your pictures. I just noticed the small mistake you make in question 4. the ladder is 6 meters not 6 centimeters and you kept on saying centimeters. Other than that i liked that you showed all your work and gave simple sentence answers. Keep it up Raelynn.

ReplyDeleteGreat job Raelynn. It looks very neat and i liked how you used the colors well. Great job.

ReplyDeleteGood job, Raelynn. I liked the video you posted and all the colours were nice. Good job.

ReplyDeleteGreat Post Raelynn, its very neat BUT next time add a link ok? :)

ReplyDeleteGood post, very informative.

ReplyDelete