Question

If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides, then what type of triangle was formed?

Answer 1

@wolf1728 its just one word ;3

Answer 2

I believe no triangle was formed.
Basically, according to the triangle inequality theorem, http://1728.org/trianinq.htm
in any triangle the longest side must be less than the sum of the other 2 sides.
I'm making the assumption that the square of the longest side and the square of the sum of the other 2 sides will have the same relationship as the longest side compared to the sum of the other sides.

Answer 3

Okay in one word -NONE

Answer 4

It's either A.Right
B.obtuse
C.Acute
D.Scalene.............

Answer 5

There is no answer maked "none"

Answer 6

Okay let's say we have a "triangle" of sides 25, 11 and 10 (which does NOT form a triangle).
Squaring 25 = 625
11² + 10² = 121 + 100
Summing those squares = 221.
There we have the square of the longest side being greater than the sum of the squares of the other 2 sides. Please tell me what kind of triangle is formed?

Answer 7

it makes no sense AHAH

Answer 8

Ahhhhhhhhh so either
• the question is phraed incorrectly or
• they forgot to put an 'E' choice.

Answer 9

Can you help with this one?

Answer 10

WX YX and YW
I could explain why if you want.

Answer 11

If the measure of two sides of a triangle are 3 feet and 7 feet, what is the least possible measure for the third side? Would it be 3 or 4?

Answer 12

Must greater than 4.
(There's a calculator for that in the link I posted).

Answer 13

Must be greater than 4?

Answer 14

7 + 3 = 10
7 - 3 = 4
therefore 4 < third side < 10

Answer 15

so
5 :D

Answer 16

Yes - if it equals 4 you'd just have a straight line.

Answer 17

yeah that would work :)

Answer 18

11 + 5 = 16
11 - 5 = 6
so between 6 and 16

Answer 19

6 < third side < 16
Jiggly are you using that calculator?

Answer 20

Would it b 6m<x<16m
or 6m>x>16m

Answer 21

Oh ok

Answer 22

Ik it's between 5.4 and 13 but which direction? idk

Answer 23

can't see it?

Answer 24

5.4<x<13 Right?

Answer 25

if it's between 5.3 and 13
then yes :)

Answer 26

Whoops there it is ;3

Answer 27

And this one is weird. It should be "none" but there is no choice like that :/

Answer 28

5.4 < third side < 13

Answer 29

Got it already! Thanks wolf!

Answer 30

that one is pythagorean theorem put into words :)

Answer 31

But which one is itttt?

Answer 32

No triangle could be formed :/

Answer 33

the pythagorean theorem can only be used for right triangles

Answer 34

OH

Answer 35

#stupid

Answer 36

Wolf can you give her a medal? ;3

Answer 37

And since the hypotenuse is greater than the sum of the squares of the other 2 sides then we have what kind of triangle?

Answer 38

Obtuse

Answer 39

@jigglypuff314 How much time do you have left? Before you leave?

Answer 40

I still think it is NO triangle.

Answer 41

well... I've still got my own homework to do so... asap kinda ;)
If you still need me around I'll stay though :P

and it would be a right triangle because it's talking about the sides "squared"

Answer 42

The answer was obtuse lmfao......... i got the question wrong but I still got a 9/10 which is an A :D

Answer 43

I searched for an obtuse triangle and it is attached.
Notice the longest side is smaller than the other sides.

Answer 44

That question is worded very badly.
Let's suppose we have sides of 1, 1 and 100.
Longest side squared is > 1² + 1²
What kind of triangle does it form?