See below for the proof that the areas of the lune and the isosceles triangle are equal
<h3>How to prove the areas?</h3>
The area of the isosceles triangle is:
Where r represents the radius.
From the figure, we have:
So, the equation becomes
Evaluate
Next, we calculate the length (L) of the chord as follows:
Multiply both sides by r
Multiply by 2
This gives
The area of the semicircle is then calculated as:
This gives
Evaluate the square
Divide
Next, calculate the area of the chord using
Recall that:
Convert to radians
So, we have:
This gives
The area of the lune is then calculated as:
This gives
Expand
Evaluate the difference
Recall that the area of the isosceles triangle is
By comparison, we have:
This means that the areas of the lune and the isosceles triangle are equal
Read more about areas at:
brainly.com/question/27683633
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Answer:
(-14,-6)
Step-by-step explanation:
The second graph because 2x5=10, 4x5=20, 6x5=30!
Answer:
the three angles of a triangle have measures x,2x,and 4y,where x>56.If x and y are integers, what is one possible value of y?
Answer:
71614
Step-by-step explanation:
7200-386= 71614