Prove that the point joining the midpoint of any side of a triangle is half the third side

Mathematics

1 answer:

Nataly [62]3 years ago

5 0

Answer:

We conclude that the line joining the mid-point of two sides of a triangle is equal to half the length of the third side. The converse of this theorem states: If a line is drawn through the mid-point of a side of a triangle parallel to the second side, it will bisect the third side.

Hope this helped you! :)

You might be interested in

I need help with this ASAP!

earnstyle [38]

Answer and Step-by-step explanation:

1) If you graph the lines, you will get the lines in the first attachment. You will see that the intersection point is (3, 5), which is the solution to that system.

2) First, let's convert both of these into slope-intercept form so that they're easier to graph.

x - 3y = 2

x = 3y + 2

3y = x - 2

y = $\frac{1}{3}x-\frac{2}{3}$

AND

-3x + 9y = -6

9y = 3x - 6

y = $\frac{3}{9} x-\frac{6}{9} =\frac{1}{3} x-\frac{2}{3}$

We see that these two lines are exactly the same, which means that no matter what coordinate works for one, it will work for the other. In other words, there are infinitely many solutions.

And, if you graph these lines, you will get the graph in the second attachment, where they are the same line.

Hope this helps!