Looking at the triangle in the image, we see that the smallest angle is opposite the smallest side. Therefore, we need to find the smallest side among the three given sides: 2x, 96, and x + 12.
To determine the smallest side, we need to compare the three sides by setting up inequalities:
2x < 96
x + 12 < 96
From the first inequality, we can solve for x:
2x < 96
x < 48
From the second inequality, we can solve for x:
x + 12 < 96
x < 84
Combining the two inequalities, we find that the smallest possible value of x is 47. Therefore, the smallest side is 2(47) = 94 units long.
Now, the smallest angle is opposite this smallest side. Using the smallest side of 94 and the corresponding angle of 2x, we can calculate the measure of the smallest angle as:
2x = 2(47) = 94 degrees
So, the measure of the smallest angle of the triangle is 94 degrees.
Use the image to answer the question find the measure of the smallest angle of the triangle there's 2x , 96 and x + 12
1 answer
1 answer