Answer:
C words
Step-by-step explanation:
Answer:
AE = 11.76 units
Step-by-step explanation:
For better understanding of the solution, see the attached figure :
Given : E ∈ AB, m∠ABC = m∠ACE, AB = 34 and AC = 20
To find AE :
In ΔABC and ΔACE,
m∠ABC = m∠ACE ( Given )
∠A = ∠A ( Common angle for both the triangles )
By AA postulate of similarity of triangles, ΔABC ~ ΔACE
So, proportion of the corresponding will be equal.

Hence, AE = 11.76 units
Since the triangles are similar, they have the same ratio to all corresponding sides. Let's find the ratio of ΔDEF to ΔPQR.
DF/RQ = 25/24
Similarly,
DE/PQ = 25/24
Thus,
PQ = 24/25 DE
PQ = 0.96DE
This means that the length of PQ is 96% of the length of DE.
I hope I was able to help you. Have a good day.