Two side of an abotuse triangle measure 10 inches and 15 inches. The length of longest side is unknown

Answer:The smallest length possible will be 19

Step-by-step explanation:If x, y and z are the lengths of the three sides of the triangle then

x+y ∠ z (z = x+y)

So if you were to obtain the largest side obtain z and substract it by 1

And to find the length of the smallest possible 3rd side when the angle is obtuse is that,

The length of the third side should be just greater than the side which is at hypotenuse

Now, consider that a right angled triangle is formed,

So, the length of the third side

=√ (15² + 10²)

=√ (225 + 100)

=√325

=18.027

As it is mentioned that the triangle is obtuse

We take the next greater whole number which is 19

The smallest length possible will be 19

The smallest length possible will be 19