An obtuse triangle has a obtuse angle that measures larger than 90 degrees.
You have to apply the Phytagorean Teorem, which is:
c^2 = a^2 + b^2
c=√(a^2 + b^2)
"c" is the hypotenuse.
"a" and "b" are the legs of the triangle (10 inches and 15 inches).
Let's substitute those values in the equation:
c=√(a^2 + b^2)
c=√(10^2 + 15^2)
c=√325
c=18 inches
What is the smallest possible whole-number length of the unknown side?
It is the next largest integer greater: 19 inches.