Given the points A(-l , 2) an d B(7, 14), find the coordinates of the point P on directed line segment AB that partitions AB in
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Answer:
The length of AP will be 14 units.
Step-by-step explanation:
As P is the centroid of ΔABC as shown in question figure.
As the side AB of the triangle has the midpoint D, the side AC of the triangle has the midpoint F and the side BC of the triangle has the
midpoint E.
Hence, CD, BF and AE being medians of ΔABC.
The point of intersection of these medians will be the centroid of the triangle. Hence, P is the centroid of ΔABC
According to rule, the centroid point of the triangle ΔABC divides each median into two segments in the ratio 2 : 1.
So,
As the value of AE = 21
So,
AP = 14
So, the length of AP will be 14 units.
Keywords: centroid, triangle
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Answer:
The length on the blueprint for an actual length of 65 feet is
Step-by-step explanation:
Given:
Scale of the blueprint is
Length of one side of the house is 65 feet.
Now, as per given data;
1 foot in actual = on the blueprint.
Therefore, using unitary method, we can find find the length on the blueprint for an actual length of 65 feet by multiplying 65 and . Therefore,
Length on the blueprint for 65 feet is given as:
Therefore, the length on the blueprint for an actual length of 65 feet is