Answer:
The coordinates of the point P is 14.
Step-by-step explanation:
Let point A is at 8 and B is at 16.
P is the point where the line segment in the ratio 3 : 1.
This is also where P is rds the distance from A to B
The total distance is |16 - 8| = 8
The distance between point AB is 8 units.
of 8 is 6.
So, the point P is 6 units from A .
8 + 6 = 14
P is at 14
Hence, the coordinates of the point P is 14.
This also works if you go 1/3 from B.
-8 is 4 from -4 which is 1/3 of 12.
Given that the triangles are similar.
When triangles are similar, all three pairs of corresponding sides are in the same ratio.
Similarly in the given triangles, the ratio of the corresponding sides are equal.
Cross multiplying, we get
Dividing both sides of the equation by -4.
So, we get
x = 7.