Given: FGKL is a trapezoid, m∠F=90°, m∠K=120°, FK=LK=a Find: The length of midsegment.
1 answer:
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So the expression is: 
You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two
. 
The other terms can't be combined.
Your final answer should be
.
You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two
Your final answer should be
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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