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profi97
@profi97
September 2021
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На Координатной плоскости даны точкиA(-7,-36), B(13,31) и С(-7,-43). Найдите расстояние от точки B до прямой AC?
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moboqe
Уравнение прямой, проходящей через 2 точки:
(x-x1)/(x2-x1)=(y-y1)/(y2-y1)
AC: (x+7)/(-7+7)=(y+36)/(-43+36)
-7x-49=0
x+7=0
A=1, B=0, C=7, B(13;31)
d=(|A*B_x+B*B_y+C|)/sqrt(A^2+B^2)
d=(|1*13+0*31+7|)/sqrt(1+0)
d=(|13+7|)/1
d=20
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Answers & Comments
(x-x1)/(x2-x1)=(y-y1)/(y2-y1)
AC: (x+7)/(-7+7)=(y+36)/(-43+36)
-7x-49=0
x+7=0
A=1, B=0, C=7, B(13;31)
d=(|A*B_x+B*B_y+C|)/sqrt(A^2+B^2)
d=(|1*13+0*31+7|)/sqrt(1+0)
d=(|13+7|)/1
d=20