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In the figure below, triangles ABC and ABX are both right triangles. If the length of is 6 units, the length of  is 10 units, and the length of  is 4 units, what is the length of 
  • a)
    √11
  • b)
    2√3
  • c)
    2√10
  • d)
    2√35
  • e)
    6√5
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
In the figure below, triangles ABC and ABX are both right triang...
The correct answer is E. You are given that AB = 6 and BX = 10. Use the Pythagorean Theorem to solve for AX:
62 + (AX)2 = 102
(AX)2 = 64
AX = 8
If AX = 8 and XC = 4, then AC must equal 12.
Given that AB = 6 and AC = 12, again use the Pythagorean Theorem to solve for BC:
62 + 122 = (BC)2
180 = (BC)2
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Most Upvoted Answer
In the figure below, triangles ABC and ABX are both right triang...
The correct answer is E. You are given that AB = 6 and BX = 10. Use the Pythagorean Theorem to solve for AX:
62 + (AX)2 = 102
(AX)2 = 64
AX = 8
If AX = 8 and XC = 4, then AC must equal 12.
Given that AB = 6 and AC = 12, again use the Pythagorean Theorem to solve for BC:
62 + 122 = (BC)2
180 = (BC)2
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