
Topic review (newest first)
 bob bundy
 20130729 17:31:30
Q19 That's my answer.
Q20 But not this one ??
Bob
 demha
 20130729 11:56:25
So that means (sqrt3) x (sqrt12) = (sqrt36) Square that and I get 6 which is answer B: 6
#19. Answer is B: 6
#20. Answer is D: 6.2414
 bob bundy
 20130726 04:13:22
Q15 to Q18 all correct, well done!
Q19: work from the ratio 2 : √3 : 1
If the shortest leg is root 12 that means you have to scale up the ratios by this factor
2 x root 12 : root3 x root 12 : 1 x root 12
So now you have to simplify root 3 x root 12 (it comes out to a simple number)
Bob
 demha
 20130726 03:31:25
#15. 9 divided by 3 = 3 and 3 x 3 = 9 So I will choose F: 3 sqrt3
#16. I choose D: 6 sqrt3
#17. I choose E: 3
#18. I choose A: 1.7321
#19. not too sure how to solve it with just a SQRT(12)
 bob bundy
 20130725 17:51:50
OK
If you have a 306090 triangle:
11. And the length of the shortest leg is 4, what's the length of the hypotenuse?  Answer: 8 correct A 5 B12 C20 D52 E 8 F 4
12. Working from #11, what's the length of the other leg?  Answer: 6 (i understand that is is 4(square root 3), 4 x 4 = 16, 16 x 3 = 48 then square root this to get the answer. is my method correct?)
Yes but the answer isn't 6 but rather 6 and a bit
leg = sqrt(8^2  4^2) = sqrt 48
A 3.0713 B4.1579 C9.2357 D6.9282 E 10.084 F 9.1157
13. And the length of the longest leg is 5[SQRT(3)], what's the length of the other leg?  Answer: E correct A 2 B7 C16 D27 E 5 F 24
14. Working from #13, what's the length of the hypotenuse?  Answer: A correct A 10 B24 C57 D91 E 39 F 46
15. And the length of the longest leg is 9, what is the length of shortest leg?
Note: in this triangle the sides are in the ratio 2 : √3 : 1
so you need to divide by root 3
A 6sqrt5 B9sqrt2 C5sqrt6 D7sqrt5 E 4sqrt2 F 3sqrt3
16. Working from #15, what is the length of the hypotenuse?
and then double that answer
A 2sqrt5 B3sqrt4 C8sqrt9 D6sqrt3 E 10sqrt2 F 7sqrt4
17. With a hypotenuse of 2[SQRT(3)] what is the length of the longest leg?
Use this ratio 2 : √3 : 1 here too A 7 B33 C9 D27 E 3 F 14
18. Working from #17, what is the length of the shortest leg?
and here
A 1.7321 B1.9443 C1.8459 D1.2946 E 1.0906 F 1.6504
19. And the length of the shortest leg is SQRT(12), what is the length of the longest leg?
and here
A 29 B6 C38 D56 E 61 F 17
20. Working from #19, what is the length of the hypotenuse?
and here
A 8.4197 B1.9764 C10.5742 D6.2414 E 2.4971 F 6.9282
Hope that helps.
Bob
 demha
 20130725 17:26:51
Yes I think that would be great if you could help out a little with those.
 bob bundy
 20130725 01:36:28
All correct. Well done!
Do you need hints for 1120 or are you ok with these now?
Bob
 bob bundy
 20130725 01:30:08
I've just logged on. I'll check them now.
Bob
 demha
 20130725 01:27:46
Alright I think I got the rest of them! #6. Answer is C: 4
#7. Answer is B: 8
#8. Now here is how I did this, tell me if I'm wrong/right: SQRT(3) divided by 2 = SQRT1.5. after squaring I get 1.224. Do I round off to the nearest which is answer A: 1.225?
#9 Answer is D: 3 sqrt2
#10 Answer is D: 84
 demha
 20130725 00:21:38
Let me just do #6 to see if I got it right: SQRT(8) 8 x 8 = 64 62 x 2 = 128 square 128 for 11.313 and round off to nearest number which will be A: 12.  Is this the correct way?
 #10: 7sqrt(72) x 2 = 7(sqrt144). 7(sqrt144) = 7(12) = 7 x 12 = 84
Answer is 84... correct?
 bob bundy
 20130724 18:36:48
Both correct, well done!
6. And one leg has a length of SQRT(8), what is the length of the hypotenuse? Square this; double it and square root. A 12 B9 C4 D18 E 26 F 2
7. And one leg has a length of SQRT(32), what is the length of the hypotenuse? same method A 24 B8 C46 D12 E 65 F 34
8. With a hypotenuse of SQRT(3), what is the length of one leg? You have now done questions like this. A 1.225 B2.189 C7.641 D1.218 E 4.321 F 1.657
9. With a hypotenuse of 6, what is the length of one leg? ditto
A 11sqrt3 B4sqrt7 C7sqrt8 D3sqrt2 E 8sqrt9 F 2sqrt5
10. And one leg has a length of 7[SQRT(72)] what is the length of the hypotenuse? and again A 04 B48 C91 D84 E 75 F 23
Bob
 demha
 20130724 09:36:30
2. The answer is going to be sqrt 3 I believe.

5. 6[SQRT(6)] 6 x 6 x 6 x 6 x 6 x 6 = 46656 (after squaring) 216 Cut in half for 108. (after squaring) 10.3923
ANSWER: A  6 sqrt(3) or 10.3923
 bob bundy
 20130724 03:28:23
hi demha,
Let's start with 15. After that you may be able to tackle some more yourself. If you have a 454590 triangle:
1. And the length of one leg is 3, what is the length of the other leg?  Answer: A correct A 3 B 6 C9 D12 E 15 F 18
2. With a hypotenuse of SQRT(6), what is the length of one leg?
hyp squared = 6 I think it is intended that the triangle is 45/45/90 again. So the squares of these two added up must come to 6. So 3 each. But now square root to get the length of a side (leg).
A sqrt 81 Bsqrt 3 Csqrt 12 Dsqrt 23 E sqrt 37 F sqrt 42
3. And one leg has a length of 5, what is the length of the hypotenuse?  Answer: F correct A 2sqrt3 B6sqrt4 C7sqrt9 D9sqrt7 E 4sqrt5 F 5sqrt2
4. With a hypotenuse of 7[SQRT(2)], what is the length of one leg?  Answer: 7 correct A 12 B94 C22 D7 E 45 F 2
5. With a hypotenuse of 6[SQRT(6)], what is the length of one leg?
hyp squared = 216. Split in two = 108. Now square root that for one leg.
A 6 sqrt(3) or 10.3923 B4 sqrt(10) or 9.3156 C3 sqrt(4) or 2.5631 D1 sqrt(5) or 3.5941 E 2 sqrt(9) or 8.2145 F 8 sqrt(7) or 6.2211
post back if you can do 2 and 5 and see if you can do any others or ask for more hints.
Bob
 demha
 20130724 02:54:31
I'm not understanding too well. I would really appreciate an explanation. I answered what I could (which isn't much at all). All the ones I did not answer, I would really appreciate an explanation as to how to solve them.
If you have a 454590 triangle:
1. And the length of one leg is 3, what is the length of the other leg?  Answer: A A 3 B 6 C9 D12 E 15 F 18
2. With a hypotenuse of SQRT(6), what is the length of one leg? A sqrt 81 Bsqrt 3 Csqrt 12 Dsqrt 23 E sqrt 37 F sqrt 42
3. And one leg has a length of 5, what is the length of the hypotenuse?  Answer: F A 2sqrt3 B6sqrt4 C7sqrt9 D9sqrt7 E 4sqrt5 F 5sqrt2
4. With a hypotenuse of 7[SQRT(2)], what is the length of one leg?  Answer: 7 A 12 B94 C22 D7 E 45 F 2
5. With a hypotenuse of 6[SQRT(6)], what is the length of one leg? A 6 sqrt(3) or 10.3923 B4 sqrt(10) or 9.3156 C3 sqrt(4) or 2.5631 D1 sqrt(5) or 3.5941 E 2 sqrt(9) or 8.2145 F 8 sqrt(7) or 6.2211
6. And one leg has a length of SQRT(8), what is the length of the hypotenuse? A 12 B9 C4 D18 E 26 F 2
7. And one leg has a length of SQRT(32), what is the length of the hypotenuse? A 24 B8 C46 D12 E 65 F 34
8. With a hypotenuse of SQRT(3), what is the length of one leg? A 1.225 B2.189 C7.641 D1.218 E 4.321 F 1.657
9. With a hypotenuse of 6, what is the length of one leg?
A 11sqrt3 B4sqrt7 C7sqrt8 D3sqrt2 E 8sqrt9 F 2sqrt5
10. And one leg has a length of 7[SQRT(72)] what is the length of the hypotenuse? A 04 B48 C91 D84 E 75 F 23
If you have a 306090 triangle:
11. And the length of the shortest leg is 4, what's the length of the hypotenuse?  Answer: 8 A 5 B12 C20 D52 E 8 F 4
12. Working from #11, what's the length of the other leg?  Answer: 6 (i understand that is is 4(square root 3), 4 x 4 = 16, 16 x 3 = 48 then square root this to get the answer. is my method correct?) A 3.0713 B4.1579 C9.2357 D6.9282 E 10.084 F 9.1157
13. And the length of the longest leg is 5[SQRT(3)], what's the length of the other leg?  Answer: E A 2 B7 C16 D27 E 5 F 24
14. Working from #13, what's the length of the hypotenuse?  Answer: A A 10 B24 C57 D91 E 39 F 46
15. And the length of the longest leg is 9, what is the length of shortest leg? A 6sqrt5 B9sqrt2 C5sqrt6 D7sqrt5 E 4sqrt2 F 3sqrt3
16. Working from #15, what is the length of the hypotenuse? A 2sqrt5 B3sqrt4 C8sqrt9 D6sqrt3 E 10sqrt2 F 7sqrt4
17. With a hypotenuse of 2[SQRT(3)] what is the length of the longest leg? A 7 B33 C9 D27 E 3 F 14
18. Working from #17, what is the length of the shortest leg? A 1.7321 B1.9443 C1.8459 D1.2946 E 1.0906 F 1.6504
19. And the length of the shortest leg is SQRT(12), what is the length of the longest leg? A 29 B6 C38 D56 E 61 F 17
20. Working from #19, what is the length of the hypotenuse? A 8.4197 B1.9764 C10.5742 D6.2414 E 2.4971 F 6.9282
