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elena-14-01-66 [18.8K]
3 years ago
11

Find endpoint with given endpoint and midpoint

Mathematics
1 answer:
TEA [102]3 years ago
3 0

Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

0.5(x - 3) = 9 ( multiply both sides by 2 )

x - 3 = 18 ( add 3 to both sides )

x = 21

and

0.5(y - 5) = 6 ( multiply both sides by 2 )

y - 5 = 12 ( add 5 to both sides )

y = 17

endpoint 2 = (21, 17 )

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Step-by-step explanation:

The triangle is shown in the attached figure, and have three vertices: AB, AC and BC.

Each vertice represents a point in the cartesian plane and the length of each side of the triangle is the modulus of each vector.

In this sense, the modulus m is calculated as shown:

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Hence, for each vector:

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