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DAT Review Questions (Dental Admissions)

Category - Mathematics

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Given a right triangle (ABC) with side a = 30.30 ft and hypotenuse c = 36.41 ft, what is the length of the side b?
  1. 20.19 ft
  2. 47.37 ft
  3. 67.56 ft
  4. None of the above
Explanation
Answer: A - The length of side b is 20.19 ft.

Solution

Use right triangle formula c2 = a2 + b2

Where a = 30.30 ft
c = 36.41 ft

b2 = c2 - a2 = (36.41 ft)2- (30.30 ft)2 = 1325.69 ft2 - 918.09 ft2 = 407.60 ft2

b = (407.60 ft2)½ = 20.19 ft
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