Triangle ABC is similar to triangle DEF. What is the value of ?
A diagram of two triangles. For triangle A B C, side A C is 10 meters, and side A B is 3.9 meters. For triangle D E F, side D E is 5.85 meters, and side D F is labeled s.
Responses
6.7 m
Pick the answer below.
1.5 m
Pick the answer below.
0.67 m
Pick the answer below.
15 m
Pick the answer below.
To find the value of s, we can set up a proportion using the corresponding sides of the similar triangles:
AC/DE = AB/DF
Substitute the given values:
10/5.85 = 3.9/s
Solving for s:
10/5.85 = 3.9/s
s = (5.85 * 3.9) / 10
s = 2.277
Therefore, the value of s is 2.277 meters, which is closest to 1.5 m.