Question

A triangular stage is to be built for a school event.
What could be the length of the side BC of the stage?

Answer 1

Answer choices:
15 feet

100 feet

105 feet

10 feet

Answer 2

@tible19 i think it is 100feet?

Answer 3

are you trying to find the area?

Answer 4

no, its asking for the length of side BC

Answer 5

or the missing side?

Answer 6

oh ok

Answer 7

the side BC

Answer 8

i thinking its 100feet because when you add 60 and 45 it equals 105. and isnt the sum of the last side supposed to be less then when you add the other sides?

Answer 9

Im*

Answer 10

@RadEn can you help us?

Answer 11

hmm i keep getting 75 -.-"

Answer 12

how did you get 75?

Answer 13

Anybody here ever hear of the pythagorean theorem???

Answer 14

is it a right triangle ?

Answer 15

yes @qweqwe123123123123111

Answer 16

@RadEn im not sure

Answer 17

i got frikin 75 again!!!

Answer 18

@qweqwe123123123123111 when i use pythagoreans theorem i get 75 but that is not an option?

Answer 19

@tible19 yea me too

Answer 20

The pythagorean theorem solves this.

Pythagoras sez that the square of the hypotenuse is equal to the sum of the squares of the sides.

This is often written as a^2 + b^2 - c^2, where "c^2" is the hypotenuse.

In your case, BC is the hypotenuse, so:

AC^2 + AB^2 = BC^2

Which means:
45^2 + 60^2 = BC^2

Which means that:

BC = sqrt(45^2 + 60^2)

Answer 21

@qweqwe123123123123111 yea i did that but im getting 17 and that is not one of the choices

Answer 22

@qweqwe123123123123111 sorry not 17..im getting 75

Answer 23

this is confusing... i even looked it up and you still get 75

Answer 24

@tible19 yea i know):

Answer 25

is this question from school?

Answer 26

45^2 = 2025
60^2 = 3600
3600 + 2025 = 5625

sqrt(5625) = 75

75' is the length of BC

If your answer list doesn't have 75 on it, then either the answers are wrong or you've stated something incorrectly.

Answer 27

Let me take a wild guess...

Look very closely at the first answer.
You wrote it as "15"
I'll bet that's actually supposed to be 75.

Answer 28

@qweqwe123123123123111 are you getting something different when you do it? because everyone else is getting 75 here...

Answer 29

@tible19 yes it is

Answer 30

homework or are you home schooled?

Answer 31

You aren't reading what I've written.

I do get 75

That's because 75 is the answer.

Look at your answer list again. Look VERY closely at the "15". I suspect the "1" is actually a "7".

Answer 32

@tible19 homeschooled

Answer 33

yeah figures sometimes they do stuff like that

Answer 34

@qweqwe123123123123111 no i just copied the answer choices over to this site, its does say 15.

Answer 35

it*

Answer 36

@tible19 ugh so what should i do? i have to put one of those answers or i get no credit at all.

Answer 37

Then the answer list is wrong.

Math doesn't lie. The answer to the problem is 75 ft.

Period.

Answer 38

hmmzies well i geuss you should just pick one and cross your fingers then

Answer 39

@qweqwe123123123123111 okay well thanks.

Answer 40

@tible19 okay. i guess im going to put 100

Answer 41

mkay ill cross my fingers too :I

Answer 42

@lolaloka

If *I* had to mark an answer, I would mark "15", *BECAUSE* 75 is the answer, and "15" HAS GOT to be a mistyped "75".

Answer 43

@tible19 lol thanks i wont know till after i finish the whole thing.

Answer 44

@qweqwe123123123123111 okay(:

Answer 45

@tible19 can you give a medal to @qweqwe123123123123111 ?

Answer 46

uh yeah sure

Answer 47

@tible19 okay thanks, its because i already gave you one and cant give out two

Answer 48

np

Answer 49

Although I enjoy getting them, I don't really need medals. I love doing this stuff, and the thought that you would give me a medal if you could is reward enough!!

But thank you very much! :-)

And thanks, tible19, for the medal-by-proxy! :-)

Answer 50

BTW, please keep me updated on what the answer turns out to be.

Answer 51

np ... i dont really need them either so tada

Answer 52

@tible19 @qweqwe123123123123111 lol okay, you guys deserve them(:

Answer 53

@qweqwe123123123123111 i sure will

Answer 54

k if you need any more help im your gal :D....ik thats lame dont judge

Answer 55

@tible19 haha okay, i will because i always second guess myself

Answer 56

@qweqwe123123123123111 @tible19 it was 100 like i said, luckily i went with my gut lol thanks though just wanted to update you

Answer 57

Thanks for the update, I appreciate it, lolaloka! :-)

But 100 is wrong, regardless of whether "B" was the right choice or not.

If I were you, I would ask for an explanation for not only how the answer could possibly be 100, but for how it could not be 75.

Answer 58

i did...he said its not a right triangle, you have to find the range of the third side

Answer 59

i dont know what that means but i just picked 100 because when you add the other two sides the sum has to be bigger than the remaining side. And 100 was the only one that was smaller than 105 but actually big enough to fit the triangle @qweqwe123123123123111

Answer 60

I'll have to admit that I made the assumption that it was a right triangle which may have been wrong.

However, there is NOTHING in that problem that says it is NOT a right triangle. To that extent, I would argue with your teacher that 75 is just as valid an answer as 100, and I offer the enclosed image supporting my argument.

However, the actual issue is moot, since you've already answered the question and had it marked "correct". :-)

Answer 61

Ya know, I have to admit, I didn't take this question as seriously as I should have.

This problem is as much about being ABLE TO READ FREAGING ENGLISH as it is how hard I should huff and puff about being righter than right. :-)

The KEY to the question is this: "What COULD be the length...", and it gave you a limited number of choices:
15, 100, 105, 10

Now with sides of 45 and 60, the 3rd side has specific limits to its size.
It MUST be greater than 15 (60-45) and less than 105 (45+60)

So yes, while it COULD have been 75, that wasn't on the list.
And the only one that WAS on the list that was >15 and <105 is 100.

Which makes 100 the correct answer.

But you figured that out already... :-)