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

1 Answer
Shell
Dec 15, 2016

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#. And, the sum of the measures of the angles of a triangle is #180#.

#=> 2x+4x+6x=180#

#12x=180#

#(12x)/12=180/12#

#x=15#

The measures of the angles are:

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

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