If the angles of a triangle arc in the ratio of 5:6:7, the triangle is

Acute
Obtuse
Right
Isosceles
Equilateral

The angles are 5x,6x,7x and they add to 180. So, 18x = 180, x=10, and the angles are

50,60,70

So what do you think?

To determine the type of triangle based on the angles, we need to find the actual measure of each angle. Let's assume that the three angles of the triangle are 5x, 6x, and 7x, where x is a constant.

Since the sum of all angles in a triangle is always 180 degrees, we can write the equation:

5x + 6x + 7x = 180.

Combining like terms:
18x = 180.

Solving for x:
x = 180 / 18 = 10.

Now that we have the value of x, we can find the measure of each angle:
- First angle: 5x = 5 * 10 = 50 degrees.
- Second angle: 6x = 6 * 10 = 60 degrees.
- Third angle: 7x = 7 * 10 = 70 degrees.

Now that we know the measures of each angle, we can determine the type of triangle:
- Acute triangle: All angles are less than 90 degrees. In this case, all angles are less than 90 degrees, so the triangle is acute.
- Obtuse triangle: One angle is greater than 90 degrees. None of the angles in this case is greater than 90 degrees, so the triangle is not obtuse.
- Right triangle: One angle is exactly 90 degrees. None of the angles in this case is exactly 90 degrees, so the triangle is not a right triangle.
- Isosceles triangle: Two angles are equal. None of the angles in this case are equal, so the triangle is not isosceles.
- Equilateral triangle: All angles are equal. None of the angles in this case are equal, so the triangle is not equilateral.

Based on the given information, the triangle is an acute triangle.