An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,9 )# to #(1 ,5 )# and the triangle's area is #32 #, what are the possible coordinates of the triangle's third corner?
1 Answer
Coordinates of vertex A
Explanation:
Given : B (4,9), C (1,5),
To find A coordinates.
Coordinates of N (4+1)/2, (9+5)/2 = N (5/2, 7)
Slope of BC
Slope of
Equation of AN
AN = h = 12.8 = sqrt((x-(5/2))^2 + (y-7)^2)#
Solving equations (1), (2), we get the coordinates of vertex A
Verification :