Question

8. In the diagram, AB = 2.8 cm,

CD = 3.5 cm, CE = 4.4 cm, and
ZA = ZC. Name the similar triangles.
Find the length of AE.
B
2.8 cm
A
E
4.4 cm
C
3.5 cm
D

Answer 1

Step-by-step explanation:We can set up the following proportion based on the corresponding side lengths:

AE / CE = BE / DE

Substituting the given values, we have:

AE / 4.4 = 2.8 / 3.5

Cross-multiplying, we get:

AE * 3.5 = 4.4 * 2.8

Dividing both sides by 3.5, we find:

AE = (4.4 * 2.8) / 3.5

Calculating the expression on the right side, we have:

AE = 3.52 cm

Therefore, the length of AE is 3.52 cm.