Answer:
( I couldn't open the image but I think this will help)
Step-by-step explanation:
Both triangles ABC and ADB share angle A, which is a right angle.
Both triangles also share angle B because they are both in triangle ABC.
This implies that angle ADB is equal to angle ACB.
By Angle-Angle (AA) similarity criterion, triangles ABC and ADB are similar.
Part C:
Since triangles ABC and ADB are similar, we can set up a proportion to find the length of segment DA.
From the similar triangles, we have:
AB/AD = BC/DB
Substitute the given values into the proportion:
9/AD = 4/4
Cross multiply to solve for AD:
94 = 4AD
36 = 4*AD
AD = 36 / 4
AD = 9
Therefore, the length of segment DA is 9 units.