Question

For a neighborhood improvement project, you volunteer to help build a new sandbox at the town playground. You have two boards that will make up two sides of the triangular sandbox. One is 5 feet long and the other is 8 feet long. Boards come in lengths shown. Which boards can you use for the third side of the sandbox? Explain.

Answer 1

Please help!.

Answer 2

sorry i cant help i don't know how to do thus :(

Answer 3

Thanks anyway.

Answer 4

@Teddyiswatshecallsme @kag @roz_mar23 @MilenaSaeger @chosenmatt @mashy

Answer 5

@eclipsedstar

Answer 6

@TheEdwardsFamily @rishavraj @Ashleyrh1999 @Sup??? @NaomiBell1997

Answer 7

I suck in math and I hate it.so Idk.srry.

Answer 8

@Starr_DynastyT can you help?

Answer 9

@BasilisHolmes33 Sum of any Two Sides of Triangle Greater than Third Side......

Answer 10

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

Answer 11

What @shelbydancer?

Answer 12

what he said

Answer 13

@Supreme_Kurt Here it is.

Answer 14

oooh. I have a nifty shortcut for this :>

Answer 15

What is it?

Answer 16

Unfortunately, nifty shortcuts aren't enough, you have to explain some. /sigh/

Answer 17

Well if you want my first answer, I mostly just want to see if I am right.

Answer 18

Sure, show me.

Answer 19

It was Either of them would work, as long as both of the sides are equal in length, and the third would simply connect them.
but this sandbox would be oddly shaped.

Answer 20

Nope, that won't cut it :P
For instance, you can't use the 15 ft board.

Triangle Inequality, remember? :P

Answer 21

Sorry the question just puzzled me but thank you for telling me.

Answer 22

That's not the entire answer, though.

Here's the shortcut I mentioned:

Whenever you're given two sides of a triangle and asked for possible lengths of the third side, then, assuming the two sides have length a and b, then the third side MUST be STRICTLY BETWEEN (that is to say, this is not including the endpoints)

|a-b| and a+b

Answer 23

Now that I think about it. Would this equation work for it. In a triangle to the two shorter sides MUST sum (total) add up to) a greater figure than the longer side.
longest side is 13 ft.
The sum of the two shorter sides is 5 + 6 = 11 ft
Hence 11 < 13 ( Not greater than though!!!).

Answer 24

Oy my brain hurts 2-2= what WHAT WHAT! Oh geesh almost forgot =0

Answer 25

What do you think about my answer? @Supreme_Kurt

Answer 26

I suppose you could use that approach, and then one-by-one demonstrate which boards would work, which boards won't, and why :)

Answer 27

OK thanks Again Kurt.