1) The _______ relationship can be used to determine the _______ of the _________

of a right triangle when the lengths of the two_______ are known.

pythagorean, lengths, hypotenuse, legs

3)Determine the length of each hypotenuse.show your work.

A)

a²+b²=c²

9cm²+40cm²=c²

9x9+40x40=c²

81cm²+1600cm²=c²

1681cm²=c²

√1681cm²=√c²

41cm=c

B)

a²+b²=c²

12m²+35m²=c²

12x12+35x35=c²

144m²+1225m=c²

1369m²=c²

√1369m²=√c²

37m=c

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

A)

c²-a²=b²

6cm²-5cm²=b²

6x6+5x5=b²

36cm²+25cm²=b²

11cm²=b²

√11cm²=√b²

3.3cm=b

B)

c²-b²=a²

12cm²-7cm²=a²

12x12+7x7=a²

144cm²+49cm²=a²

95cm²=a²

√95cm²=√a²

9.7cm=a

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

A)Find the length of the hypotenuse for the right triangles, to the nearest tenth of a metre. Show your work.

a/2=a²

8/2=4

a²+b²=c²

4²+2²=c²

4x4+2x2=c²

16m²+4m²=c²

20m²=c²

√20m²=√c²

4.5m=c

B)Calculate the perimeter of the large triangle, to the nearest tenth of a metre. Show your work.

a+b=perimeter

8+4.5=17 m

Here is a link about Pythagorean Relationship.

Here is a video using math link textbook about pythagorean relationship.

Nice post Paul. Good use of color and it looks very neat. I also liked the video and link. I also like your pictures but I think you got some of them mixed up. Other than that great job.

ReplyDeleteGood job, Paul! I liked all the colours you used in your post and I also liked the video and your link. I thought your post was very well done. Thank you for showing your work when answering the questions too.

ReplyDeleteEverything was great, but I suggest that next time you do a fill in the blank work you should type out the question and highlight the word being used because it was alittle confusing.

ReplyDeleteGreat job Paul. It is so neat and I like the pictures. I love the colours that you added and the link and video was very helpful.

ReplyDeleteGreat job, Paul. I liked how you added pictures to explain everything on your post. You had also added a video and a link which is very helpful. Good job.

ReplyDeleteGood job Paul. I like how you used a variety of colours and your work neatly done.

ReplyDeleteGood Job Paully! i like the pictures you added and how your post is so red and black BUT next time you should use more colors :)

ReplyDelete