Answer:
26.17
Step-by-step explanation:
To find the length of CE, we need to apply the triangle proportionality theorem, also known as the similar triangles theorem.
Given:
AC = 6.8
BC = 2.7
DC = 10.4
We want to find CE.
According to the similar triangles theorem:
(AC / BC) = (CE / DC)
Substituting the given values:
(6.8 / 2.7) = (CE / 10.4)
Now, let's solve for CE:
CE = (6.8 / 2.7) * 10.4
CE ≈ (2.5185) * 10.4
CE ≈ 26.174
Rounding to the nearest hundredth:
CE ≈ 26.17
So, the length of CE is approximately 26.17 units.
