In triangle ABC, P is a centroid on a median AD. If AD=33 and AP>PD find AP
1 answer:
Answer:
AP = 22
Step-by-step explanation:
In a triangle, the centroid divides the median in the ratio 2:1.
It is given that AD is the median and AD = 33
It is also given that P is the centroid on the median AD.
Therefore, P divides AD in the ratio 2:1.

AP = 2k and PD = k
AD = 33
AP + PD = 33
2k + k = 33
3k = 33
k = 11
So, AP = 2k = 2(11) = 22
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Chair=4x
lamp=x
table=4x-23
4x+x+4x-23=562
9x=585
x=585/9
x=65
4x=260
4x-23=237