The length of x is such that 2 < x < 8. What is the length y of the given triangle?

Asked by Topperlearning User | 14th Oct, 2014, 09:51: AM

Expert Answer:

In a triangle sum of lengths of either two sides is always greater than the third side and also difference of lengths of either two sides is always lesser than the third side.

So, 5 - y < x < 5 + y

Also, it is given that 2 < x < 8

So, comparing the above two inequalities, we get

5 + y = 8

i.e. y = 8 - 5 = 3

Answered by  | 14th Oct, 2014, 11:51: AM