Answer:
Yes, they are similar.
[tex]AB\approx 127.3947[/tex]
Step-by-step explanation:
Part 1)
Yes.
First, ∠D and ∠B are both right angles, so they are congruent.
Next, ∠DCE and ∠BCA are vertical angles. So, their measures are congruent.
Then by Angle-Angle Similarity, we acquire:
[tex]\Delta EDC\sim \Delta ABC[/tex]
Part 2)
The corresponding sides of similar triangles are proportional.
Therefore:
[tex]\displaystyle \frac{DE}{DC}=\frac{AB}{BC}[/tex]
By substitution:
[tex]\displaystyle \frac{103}{76}=\frac{AB}{94}[/tex]
Cross-multiply:
[tex]76AB=9682[/tex]
So:
[tex]AB=9682/76\approx127.3947[/tex]
