The length of AP is 14 units
Step-by-step explanation:
The centroid point of a triangle is:
- The point of intersection of the three medians of the triangle
- The centroid point divides each median into two segments at a ratio 2 : 1 from its vertex
- The length of the segment from the vertex to the centroid is [tex]\frac{2}{3}[/tex] of the length of the median
- The length of the segment from the centroid to the base is [tex]\frac{1}{3}[/tex] of the length of the median
Look to the attached figure
In Δ ABC
∵ D is the mid-point of AB
∵ E is the mid-point of BC
∵ F is the mid-point of AC
∵ AE , BF and CD are the medians of the triangle
∵ AE , BF and CD are intersected at P
∴ P is the centroid of the triangle
- By using the rule above
∴ AP = [tex]\frac{2}{3}[/tex] AE
∵ AE = 21 units
∴ AP = [tex]\frac{2}{3}[/tex] × 21
∴ AP = 14 units
The length of AP is 14 units
Learn more:
You can learn more about the triangles in brainly.com/question/3358617
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