Question

If the measure of the angles of a triangle are represented by 2x, 4x, and 6x, then the triangle is

Answer 1

The sum of all angles in a triangle is 180 degrees. Using the given expressions 2x, 4x, and 6x for the angles and solving for x, we find that the triangle has angles measuring 30, 60, and 90 degrees, which makes it a right triangle.

Step-by-step explanation:

If the measure of the angles of a triangle are represented by 2x, 4x, and 6x, then to determine the type of triangle, we must first acknowledge that the sum of angles in any triangle equals 180 degrees.

To find the values of x, we set up the equation 2x + 4x + 6x = 180, which simplifies to 12x = 180. Solving for x, we get x = 15. The measures of the angles are then 2x = 30 degrees, 4x = 60 degrees, and 6x = 90 degrees. Because one of the angles is 90 degrees, the triangle is a right triangle.

Answer 2

The triangle is a scalene triangle

Step-by-step explanation:

Given

Angles: 2x, 4x, 6x

Required

Determine the type of the triangle

A triangle with unequal angles is referred to as a scalene triangle.

The relationship between the given angles can be represented as:

2x ≠ 4x ≠ 6x for x ≠ 0

Because the angles are not equal, then the triangle is scalene.