A triangle has a ratio of 3:8:9 what is the measure of the smallest angle
break up 180 degrees into 3+8+9 parts, or each part is 180/20=9 degrees
angles: 3*9; 8*9; and 9*9
To find the measure of the smallest angle, we need to first understand how the sides of the triangle are related to the angles.
In a triangle, the angles opposite the smaller sides are smaller, and the angles opposite the larger sides are larger. Therefore, if the sides of the triangle are in the ratio 3:8:9, we can conclude that the corresponding angles are in the ratio 1/3:8/3:9/3, which simplifies to 1:8:9.
Since the sum of the angles in a triangle is always 180 degrees, we can find the measure of each angle by dividing the sum proportionally based on the ratio.
The total ratio is 1 + 8 + 9 = 18, so we can calculate the measure of the smallest angle as follows:
Measure of smallest angle = (1/18) * 180 degrees = 10 degrees
Therefore, the smallest angle of the triangle measures 10 degrees.