What is the value of x in the figure below? In this diagram, AABD ~ ACAD.

The value of x in the right angle triangle is 45 / 4 units
AB² = 20² - 15²
AB = √400 - 225
AB = √175
AB = √175 units
Hence, using similarity ratio,
x / 15 = 15 / 20
cross multiply
20x = 225
x = 225 / 20
x = 45 / 4
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