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pickupchik [31]
2 years ago
10

Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C. Alicia draw

s two diameters and connects the points where the diameters intersect the circle, in order, around the circle. Benjamin tells Alicia that she was not being very accurate. He says that the diameters must be perpendicular to each other. Then she can connect the points, in order, around the circle. Caleb tells Alicia and Benjamin that he doesn't need to draw the second diameter. He says that because a triangle inscribed in a semicircle is a right triangle, he will simply draw two such triangles, one in each semicircle. Together the two triangles will make a square. Who is correct?​
Mathematics
1 answer:
True [87]2 years ago
6 0

Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.

<h3>Inscribing a square</h3>

The steps involved in inscribing a square in a circle include;

  • A diameter of the circle is drawn.
  • A perpendicular bisector of the diameter is drawn using the method described as the perpendicular of the line sector. Also known as the diameter of the circle.
  • The resulting four points on the circle are the vertices of the inscribed square.

Alicia deductions were;

Draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle

Benjamin's deductions;

The diameters must be perpendicular to each other. Then connect the points, in order, around the circle

Caleb's deduction;

No need to draw the second diameter. A triangle when inscribed in a semicircle is a right triangle, forms semicircles, one in each semicircle. Together the two triangles will make a square.

It can be concluded from their different postulations that Benjamin is correct because the diameter must be perpendicular to each other and the points connected around the circle to form a square.

Thus, Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.

Learn more about an inscribed square here:

brainly.com/question/2458205

#SPJ1

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a right trangle has one angle that measures 70 what is the measure of the other acute angle in the triangle
inna [77]

Answer:

20

Step-by-step explanation:

We know that the interior angle measures of a triangle are <u>180,</u> and we are told that this is a <u>right</u> triangle.

Since we know the measure of two angles, we just have to do basic math:

180=90+70+x

solve for x (which equals 20) to get the measure of your acute angle

3 0
3 years ago
How many solutions does this linear have y= 5x-1 -15x-3y=3?
musickatia [10]
-15x - 3y = 3

-15x - 3(5x-1) = 3 [input y]
-15x - 15x - 3 = 3 [distribute 3 over 5x and -1]
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Hopefully this is helpful enough to get you to your answer
4 0
3 years ago
What's the solution for y+1/2=3/4
creativ13 [48]
\frac{y+1}{2} = \frac{3}{4}

2(y+1) = 3        LCD is 4

2*y + 2*1 = 3

2y + 2 = 3

2y = 3 - 2

2y = 1

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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