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astra-53 [7]
3 years ago
6

Find the coordinates of the midpoint of the segment with the given endpoint S(-1,5) and T(7, -2)

Mathematics
1 answer:
qaws [65]3 years ago
4 0

Answer:

The answer is

<h2>(3  \: , \:  \frac{3}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} ) \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(-1,5) and T(7, -2)

The midpoint is

M = ( \frac{ - 1 + 7}{2}  \:  ,  \:  \frac{ - 2 + 5}{2} ) \\  = ( \frac{6}{2}  \: , \:  \frac{3}{2} )

We have the final answer as

(3  \: , \:  \frac{3}{2} ) \\

Hope this helps you

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Answer:

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Step-by-step explanation:

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Now, As given in figure 1,

In Δ ABC, ∠ABK = ∠KBC (∵ BK is angle bisector)

Now in Δ BMK, ∠MBK = ∠BKM (∵ BM = MK and angles opposite to equal sides of a triangle are equal.)

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