im so smart. really.
The million dollar question is…
Points A (-2,3) , B (5, -1) , C (-4,-7) are the midpoints of triangle PQR. Find the coordinates of P, Q, and R.
Answer:
(XP+XQ)/2= -2
XP+XQ = -4
(XP+ XR)/2 = 5
XP+XR = 10
(XQ+XR) = -4
XQ+XR = -8
= XP = -4 - XQ
= XR = -8 – XQ
XP+XR = -8 – XQ + -4 – XQ
10 = -12 – 2XQ
XQ = -11
XP – 11 = -4
XP = -4 + 11
XP = 7
-11 + XR = -8
XR = -8 + 11
XR = 3
YP = YQ = 6
YP + YR = -2
YQ + YR = -14
YP = 6 – YQ
YR = -14 – YQ
YP + YR = 6 – YQ – 14 –YQ
-2 = -8 – 2YQ
6 = -2YQ
YQ = -3
YP – 3 = 6
YP = 6 + 3
YP = 9
9 + YR = -2
YP = -11
ANSWER : P( 7, 9 ) , Q ( -11, -3 ) , R ( 3, 11 )
Wait. There’s more.
Time taken for the stupidity of nianci to figure this out is :
1 hour and 30 minutes.
Im such a smart person. =D
Labels: everyday's bits and pieces