Question

If ?ABE is similar to ?ACD by the SAS similarity theorem, AD must equal how many units.

Answer 1

the correct answer for this on edg. is 24

Answer 2

Answer: 24 units

Explanation:

Given: Δ ABE is similar to Δ ACD by the SAS similarity theorem.

Since the corresponding sides of similar triangles are proportional.

Therefore we have

`(AB)/(AC)=(AE)/(AD)\\\\\Rightarrow(AB)/(AB+BC)=(AE)/(AE+ED)\\\\\Rightarrow(6)/(6+30)=(4)/(AD)\\\\\Rightarrow\ AD=(4*36)/(6)\\\\\Rightarrow\ AD=24`

Hence, if Δ ABE is similar to Δ ACD by the SAS similarity theorem then AD must equal 24 units.