Answer:
A
Step-by-step explanation:
The midsegment is half the sum of the parallel bases, that is
21 - x = [tex]\frac{1}{2}[/tex] (17 + 11)
21 -x = [tex]\frac{1}{2}[/tex] × 28 = 14 ( subtract 21 from both sides )
- x = - 7 ( multiply both sides by - 1 )
x = 7 → A
The value of x is 7
The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side. This theorem is used in various places in real life, for example in the absence of a measuring instrument, we can use the midpoint theorem to cut a stick into half.
In math, we also have a midpoint theorem formula which has its applications in coordinate geometry. It can also be known as the midpoint theorem of a line segment. It states that if we have a line segment whose endpoints coordinates are given as (x1, y1) and (x2, y2), then we can find the coordinates of the midpoint of the line segment by using the formula given below:
Let (xm, ym) be the coordinates of the midpoint of the line segment. Then,
(xm, ym) = ( (x1 + x2)/2 , (y1 + y2)/2 )
This is known as the midpoint theorem formula.
As, midsegment is half the sum of the parallel bases
21 - x = 1/2 (17 + 11)
21 - x= 12* 28
21-x= 14
x= 7
Learn more about mid point theorem here:
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