Mathematics, 25.05.2020 05:59 kaylaamberd
A median of a triangle is a line segment joining a vertex of a triangle to the midpoint of the opposite side. The three medians of a triangle are drawn below.
[asy]
pair A, B,C, X,Y, Z;
A = (0,0);
B = (1,0);
C = (0.3,0.8);
X = (B+C)/2;
Y = (A+C)/2;
Z = (A+B)/2;
draw(A--X, red);
draw(B--Y, red);
draw(C--Z, red);
draw(A--B--C--A);
[/asy]
Note that the three medians appear to intersect at the same point! Let's try this out with a particular triangle. Consider the triangle $ABC$ with $A = (3,6)$, $B = (-5,2)$, and $C = (7,-8)$.
(a) Let $D,$ $E,$ $F$ be the midpoints of $\overline{BC},$ $\overline{AC},$ $\overline{AB},$ respectively. Find the equations of medians $\overline{AD},$ $\overline{BE},$ and $\overline{CF}.$
(b) Show that the three medians in part (a) all pass through the same point.
Answers: 1
Mathematics, 21.06.2019 13:00
How many different ways can you make change for $.50 using only nickels,dimes, and quarters?
Answers: 2
Mathematics, 21.06.2019 16:00
Solve for x -2.3(r - 1.2 ) = -9.66 enter you answer as decimal.
Answers: 1
Mathematics, 21.06.2019 16:30
If 10 men take 18 days to mow 60 acres of grass, how long will 15 men take to mow 80 acres?
Answers: 3
Mathematics, 21.06.2019 17:30
Which of the following is true about the graph of f(x)=7^x. select all that apply. a= it intercepts the x axis b=it intercepts both axis c=it intercepts neither d=it intercepts the y axis
Answers: 1
A median of a triangle is a line segment joining a vertex of a triangle to the midpoint of the oppos...
Arts, 16.04.2020 21:58
Mathematics, 16.04.2020 21:58
Mathematics, 16.04.2020 21:58