3. Identify the segment bisector of AB. Then find AB.
1 answer:
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Answer:
The arc length of the semicircle is or
Step-by-step explanation:
The complete question in the attached figure
we know that
The circumference of a semicircle is given by the formula
where
D is the diameter of the semicircle
we have
substitute
----> exact value
Assume
----> approximate value
therefore
The arc length of the semicircle is or
<u>Given</u>:
Given that the bases of the trapezoid are 21 and 27.
The midsegment of the trapezoid is 5x - 1.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trapezoid midsegment theorem.
Applying the theorem, we have;
where b₁ and b₂ are the bases of the trapezoid.
Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;
Multiplying both sides of the equation by 2, we have;
Simplifying, we have;
Adding both sides of the equation by 2, we get;
Dividing both sides of the equation by 10, we have;
Thus, the value of x is 5.