Equilateral triangle abc has side length 1. a line is drawn from the midpoint, m, of bc to the opposite vertex a. which of the following is true? check all that apply. am = 1 am = 1/2 am = squareroot 3/2 bm = 1 bm = 1/2 bm = squareroot 3/2

Step-by-step explanation:

Consider the following figure,

We know that equilateral triangle is a triangle in which in all sides are equal.

So, AB = BC = AC = 1

Also, in equilateral triangle, altitude and median are the same.

As AM is the median, M is the midpoint of BC,

In the figure, AM is a median as well as an altitude.

In ,

Using Pythagoras theorem:

Similarly, in ,

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.