Question

Mhanifa please help me on this it’s really difficult. I will mark brainliest! Point P is the centroid of triangle ABC. Use the given information to find the indicated measures.

Answer 1

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