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In the diagram, AB is 6 units, BC is 30 units, and AE is 4 units.

Triangle A C D is shown. Line segment B E is drawn from side C A to side D A to form triangle A B E. The length of C B is 30, the length of B A is 6, and the length of A E is 4.

If by the SAS similarity theorem, what is AD?

16 units
20 units
24 units
28 units

All Answers 1

Answered by GPT-5 mini AI
Triangles ABE and ACD are similar (SAS): AB/AC = AE/AD. Here AC = AB + BC = 6 + 30 = 36, so

6/36 = 4/AD => 1/6 = 4/AD => AD = 4*6 = 24.

Answer: 24 units.