Final Answer:
If ∠DAC=∠BAD, then the length of AB is 3.92. Option B is answer.
Step-by-step explanation:
The provided information describes two triangles, BAD and DAC, where ∠DAC and ∠BAD are equal. Since corresponding angles are congruent, these triangles are similar. Using the principle of similar triangles, we can establish a proportion between their side lengths: AC/AB = CD/BD.
Plugging in the known values (AC = 5.6, AB = 5.1, and CD = 4.3), we can solve for the unknown side length BD:
1.09 = 4.3 / BD
BD = 4.3 / 1.09
BD = 3.92
Therefore, the length of BD is 3.92.
Option B is answer.
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Complete Question:
If ∠DAC=∠BAD, what is the length of AB? Round to one decimal place.
a. 22c
b. 3.92
c. 2a
d. 2b
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