answer this question pls answer it correctly
Answers
Answer:
The coordinates of the triangle are (11, 5), (-5, -3) and (-1, 7)
Step-by-step explanation:
Let the triangle be ΔABC with coordinates (a,b), (c,d), (e,f).
As given in question, midpoint of AB = (3,1)
midpoint of BC = (-3,2)
midpoint of CA = (5,6)
First, lets solve for x-coordinates, according to midpoint formula if x is the midpoint of x1 and x2, x = (x1+x2)/2
for side AB, (a+c)/2 = 3
a+c = 6 --------------1
BC, (c+e)/2 = -3
c+e = -6 --------------2
CA, (e+a)/2 = 5
e+a = 10 ---------------3
now we have 3 equations and 3 variables which can be solved easily.
using 1 and 2
a-e = 12 ----------------4
using 3 and 4
a = 11, e = -1
again using 1,
c = -5
similarly for y coordinates,
b+f = 12
f+d = 4
d+b = 2
solving these 3 equations,
b = 5, d = -3, f = 7
Hence the coordinates of the triangle are (11,5),(-5,-3,) and (-1,7).
