P is being divided with r
Example :
u have an endpoint at (6,5)......ad the midpoint is (4,2)....find the other endpoint.
midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
one endpoint (6,5)....x1 = 6 and y1 = 5
other endpoint (x,y)...x2 = x and y2 = y
sub into the formula
m = (6 + x) / 2, (5 + y) / 2
okay, so the midpoint is (4,2)....so ur x value will equal 4
(6 + x) / 2 = 4...multiply both sides by 2
6 + x = 4 * 2
6 + x = 8
x = 8 - 6
x = 2 <==
midpoint is (4,2)....so the y value will equal 2
(5 + y) / 2 = 2 ...multiply both sides by 2
5 + y = 2 * 2
5 + y = 4
y = 4 - 5
y = -1 <==
so ur other endpoints are (2,-1)
the picture in the attached figure
we know that
area of the triangle is equal to
in this problem
A=47 in²
b=x
h=x
so
therefore
the answer is
x=9.7 in
The answer is 5/15 which is simplified to 1/3
