The angles of a triangle have the ratio 3:2:1. What is the measure of the smallest angle?
2 Answers
Jun 9, 2018
Explanation:
"the sum of the angles in a triangle "=180^@
"sum the parts of the ratio "3+2+1=6" parts"
180^@/6=30^@larrcolor(blue)"1 part"
3" parts "=3xx30^@=90^@
2" parts "=2xx30^@=60^@
"the smallest angle "=30^@
Jun 9, 2018
The smallest angle is
Explanation:
Let the triangle be
Now, we know that all the 3 angles of a triangle sum up to be
Now assigning the angles their values,
Now, as we can clearly observe, the smallest angle is
which is
Hence, the smallest angle is of