The last side would be 10
From the markings on the diagram, we can tell E is the midpoint of BC and <u>D</u> is the midpoint of AC. We can apply the <u>triangle midsegment theorem</u>: ED = ½BA. Substituting in the expressions for the lengths and solving for x, we get x = <u>5</u>. Now, since BE = x, then BC = <u>10</u>.
<h3>What is
triangle midpoint theorem?</h3>
Triangle midpoint theorem states that the line segment which joins the midpoints of two (2) sides of a triangle is parallel to the third side, and it's congruent to one-half of the third side.
By applying the triangle midpoint theorem, we can find the value of x:
ED = ½BA
x + 2 = ½(4x - 6)
2x + 4 = 4x - 6
4x - 2x = 6 + 4
2x = 10
x = 10/2
x = 5.
BC = x + x
BC = 5 + 5
BC = 10.
Read more on triangle midpoint theorem here: brainly.com/question/16047906
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Answer:
H (x= -3 , y=5)
I (x=8 , y=2)
J (x= -3 , y= -5)
D is the distance between the 2 points so just plug in the x and y cords of each of the corresponding points
so for (HI)
you plug in 2 on the red x
and 8 on the red y
then -3 in the blue x
and 5 in the blue y