Two sides of an obtuse triangle measure 10 inches and 15 inches. the length of longest side is unknown.
what is the smallest possible whole-number length of the unknown side?

The smallest possible whole-number length of the unknown side is

Step-by-step explanation:

we know that

The triangle inequality theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x-----> the length of longest side

Applying the triangle inequality theorem

case A)

Rewrite

case B)

The solution of the third side is the interval------->

but remember that

In an obtuse triangle

Round to a whole number

6 (3) - 4 + 32

hope this