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

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b