Question

Indicate the equation of the given line in standard form.

The line that contains the median to the base of an isosceles triangle with vertices A (2, 1), B(8, 4), and C(5, 7)

Answer 1

Use the distance formula to figure out which sides are the congruent sides.
\[d = \sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}\]
AB = 3√5
AC = 3√5
BC = 3√2
BC is the non congruent side, so find the midpoint of that side.
Midpoint of BC = (6.5, 5.5)
Find the slope of the line
5.5 - 1/6.5 - 2 = 1
Plug it into the point-slope form.
\[y - y_{1} = m(x - x_{1})\]
y - 1 = 1(x - 2)
y - 1 = x - 2
x - y = 1

Answer 2

Thanks so much! :D

Answer 3

You're welcome :)