Respuesta :

mhanifa

Answer:

  • The centroid of a triangle is the intersection of the three medians of the triangle.
  • The centroid theorem states that the centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.

As per above mentioned property, we have:

Question1

  • AL = 27 - given
  • AP = 2/3 AL = 2/3(27) = 18
  • PL = 1/3 AL = 1/3(27) = 9

Question 2

  • BP = 102  - given
  • BP = 2/3 BL ⇒ BL = 3/2(CP) = 3/2(102) = 153
  • PL = 1/3 BL = 1/3(153) = 51
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