The measures of the triangle are in the ratio 2:4:6. What are the measures of the angles?

Question

The measures of the triangle are in the ratio 2:4:6. What are the measures of the angles?

1 Answer

Impact of this question

22899 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-15T02:01:56

The measures of the angles are 30, 60 and 90 degrees.

Explanation:

I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.

If the angles are in the proportion 2:4:6, the measures of the angles have the same scale factor $x$ $x$ . And, the sum of the measures of the angles of a triangle is $180$ $180$ .

$\Rightarrow 2 x + 4 x + 6 x = 180$ $=> 2x+4x+6x=180$

$12 x = 180$ $12x=180$

$\frac{12 x}{12} = \frac{180}{12}$ $(12x)/12=180/12$

$x = 15$ $x=15$

The measures of the angles are:

$2 x = 2 (15) = 30$ $2x=2(15)=30$
$4 x = 4 (15) = 60$ $4x=4(15)=60$
$6 x = 6 (15) = 90$ $6x=6(15)=90$

Science

Math

Humanities

... and beyond

The measures of the triangle are in the ratio 2:4:6. What are the measures of the angles?

1 Answer

Explanation:

Related questions

Impact of this question