The measures of the angles in a triangle are x, 2x, and 3x. the triangle is
acute
right
obtuse

we know that

The triangle is acute  if the larger angle is less than degrees

The triangle is right  if the larger angle is equal to degrees

The triangle is obtuse  if the larger angle is greater than degrees

Remember that

The sum of the internal angles of a triangle is equal to degrees

so

In this problem

Solve for x

The angles of the triangle are

The larger angle is equal to degrees

therefore

the answer is

right

x = 3 ± √(5+y)