A bit confused, the statement is x-y or x*y?

winniethepooh wrote:A bit confused, the statement is x-y or x*y?

Hi,

The statements are lengths of the sides of the triangle.

The answer should be E.
By both the statements you get no certainty of length of yz, as yz can be anywhere from 2<yz<8.
So, E!

bblast wrote:In triangle xyz, what is the length of yz ?

1>xy=3
2>xz=5.


Cant we assume it to be a 3-4-5 ? are there other values possible. I know about the theorem that sum of 2 sides is greater than 3rd side and the mod of diff between 2 sides is less than the 3rd side. So if we apply this here, are non integer values possible for yz ????

Hi,
You cannot assume it to be 3-4-5. Third side can be any value between 2 and 8. Non- integers are possible. If you are not convinced, just consider a right triangle with legs as 3 and 5. Hypotenuse will be sqrt(5^2+3^2) = sqrt(34) --> Non- integer(in fact irrational). So, depending on the angle between XY and XZ, the length of YZ lies between 2 to 8 (exclusive).

thanks Frank,

i just realized I have made this mistake twice now. The other time I took the sum of 2 legs of a right triangle = 7 as sufficient.

however any combination of length is possible.

using a+b,

xz-xy < yz < xz + xy

5-3 < yz < 8

hence E it is.