Question

If ACAB is similar to AEDB, what is the value of y?
a) 24
b) 6
c) 8
d) 4.5

Answer 1

To find the value of y, we can set up a proportion comparing the corresponding sides of the similar triangles ACAB and AEDB. Solving for y gives us the value of 6.

Step-by-step explanation:

The question states that ACAB is similar to AEDB. To find the value of y, we need to compare the corresponding sides of the two triangles. In triangle ACAB, side AB corresponds to side ED in triangle AEDB. Since ACAB is similar to AEDB, the ratio of the lengths of their corresponding sides will be the same.

Therefore, we can set up the proportion:

AB/ED = AC/AE

Substituting the given values:

y/4.5 = 8/6

To solve for y, we cross-multiply and then divide:

y * 6 = 4.5 * 8

y = (4.5 * 8) / 6

y = 6

Therefore, the value of y is 6. So, the correct answer is (b) 6.