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  1. Similar Triangles
  2. areas
  3. pythagoreanTheorem
  4. circles
  5. quadrilaterals
  6. threeDimensionalGeometry
  7. trigonometry
  8. conic
  9. miscellaneous
  10. exercises solutions
Exercise 238
In quadrilateral $ABCD$, $AB = 6$, $BC = 13$, $CD = 6$, $DA = 3$, and $BD$ is an integer. What is $BD$?
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Solution
  1. Triangle inequality in $\triangle ABD$ ($AB=6,DA=3$): $3
  2. Triangle inequality in $\triangle BCD$ ($BC=13,CD=6$): $7
  3. The overlap is $7
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