Question

In the trapezoid ABCD ( AB ∥ CD ) point M∈ AD , so that AM:MD=3:5. Line l ∥ AB and going trough point M intersects diagonal AC and leg BC at points P and N respectively. Find: AC:PC

Answer 1

Answer:

AC : PC = 8 : 5

Step-by-step explanation:

Parallel lines divide any transversal into segments with the same ratio. That means ...

... AP : PC = AM : MD = 3 : 5

Since AC = AP + PC, the desired ratio is ...

... AC : PC = (AP+PC) : PC = (3+5) : 5

... AC : PC = 8 : 5