Two sides of an obtuse triangle have lengths 7 and 3. If the third side is also an integer, what are its possible lengths?

Guest Apr 25, 2018

#1**+3 **

Using the rule about the sides of a triangle, where the sum of any two sides must be greather than the third.

We have these inequalities:

7 + 3 > x

7 + x > 3

x + 3 > 7

Simplifying these inequalities, we have:

x < 10

x > -4

x > 4

The possible integer lengths are:

5, 6, 7, 8, and 9.

I hope this helped,

Gavin.

GYanggg Apr 25, 2018