A triangle has vertices at A(2,3,1), B(-1,1,2), C(1,-2,3). Find a) The length of the median drawn from B to side AC and b)The acute angle which this median makes with side BC.
1
Expert's answer
2013-01-16T12:08:23-0500
a) The length of the median drawn from B to side AC Let the other point of median is D(Dx, Dy, Dz). Dx = (Ax + Cx) / 2 = (2 + 1) / 2 = 1.5 Dy = (Ay + Cy) / 2 = (3 - 2) / 2 = 0.5 Dz = (Az + Cz) / 2 = (1 + 3) / 2 = 2.0 So, getting D(1.5, 0.5, 2.0). BD = sqrt( (1.5 + 1.0)^2 + (0.5 - 1.0)^2 + (2.0 - 2.0)^2 ) = sqrt( 6.25 + 0.25 + 0 ) = sqrt( 6.5 )
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
"assignmentexpert.com" is professional group of people in Math subjects! They did assignments in very high level of mathematical modelling in the best quality. Thanks a lot
Comments
Leave a comment