Answer:
19 inches is the correct answer.
Explanation:
Side 1 = 10 inches
Side 2 = 15 inches
It is given that it is an obtuse angle triangle i.e. the largest angle of the triangle is more than
.
Let us suppose, that the triangle be a right angle triangle, then the largest angle will be
. The largest side is known as Hypotenuse.
As per pythagoras theorem:


So, largest side comes out be 18.04 inches.
But actually, the largest angle is more than
so the largest side will also be greater than 18.04 inches.
Hence, the answer is:
Smallest possible whole number length of unknown side will be 19 inches.