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In the figure below, the lengths of the sides of triangle BAC are as shown.  bisects side . What is the length of DC?
  • a)
    √3
  • b)
    2
  • c)
    3
  • d)
    2√5
  • e)
    4
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
In the figure below, the lengths of the sides of triangle BAC ar...
The correct answer is C. The first step in answering this question is to use the Pythagorean Theorem, α2 + b2 = c2, to determine the length of AB. BD, the line that bisects AC, creates a second triangle, BAD. Use the length of lines BD and AD to determine the length of AD (let AD = α).
α2 + 42 = 52
α2 + 16 = 25
α2 = 9
α = 3
Because you known that BD bisects AC, you know that the length of DC must also equal 3.
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In the figure below, the lengths of the sides of triangle BAC are as shown. bisects side . What is the length of DC?a)√3b)2c)3d)2√5e)4Correct answer is option 'C'. Can you explain this answer?
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