2014 · Q78
AB is a straight line; C and D are points on the same side of AB such that AC is perpendicular to AB and DB is perpendicular to AB. Let AD and BC meet at E. What is AE/AD + BE/BC equal to?
Elementary MathematicsGeometry
- A2
- B1.5
- C1
- DNone of the above
Explanation
By similar triangles AE/AD = AC/(AC+BD) and BE/BC = BD/(AC+BD); the sum is 1.