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Nikolay [14]
3 years ago
6

Mhanifa please help me on this it’s really difficult. I will mark brainliest! Point P is the centroid of triangle ABC. Use the g

iven information to find the indicated measures.

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Answer:

  • The centr<em>oid of a triangle is the intersection of the three medians of the triangle. </em>
  • <em>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.</em>

<u>As per above mentioned property, we have:</u>

<u>Question1</u>

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

<u>Question 2</u>

  • 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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