Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB,
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ANSWER
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EXPLANATION
Let us find the gradient of the line:
by rewriting it in the slope intercept form.
We divide through by 4 now;
This is now in the form;
where
is he slope.
This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of .
Thus the perpendicular line has slope,
.
Let the perpendicular line have equation,
When we substitute the slope we have;
We substitute the point. to find c.
We substitute c to obtain;
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