Question

The ratio of the measures of the three angles in a triangle are 3:4:6. Determine the measures of each angle of the triangle.

Answer 1

Given:

The ratio of the angles is 3:4:6.

Required:

We need to find the measure of each angle of the triangle.

Step-by-step explanation:

Let the angles of the triangle be 3x, 4x and 6x.

We know that the sum of the angles is equal to 180 degrees.

`3x+4x+6x=180\degree`
`13x=180\degree`

Divide both sides by 13.

`(13x)/(13)=(180\degree)/(13)`
`x=13.85`

Substitute x values in 3x, 4x and 6x.

`3x=3*13.85=41.55`
`4x=4*13.85=55.4`
`41.55+55.4+6x=180`
`6x=83.05`

Final answer:

The angles are 41.55, 55.40 and 83.05.