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IceJOKER [234]
3 years ago
8

Which statements about finding the area of the equilateral triangle are true? Check all that apply.

Mathematics
2 answers:
kipiarov [429]3 years ago
4 0
The statements that are true are ...
  • The apothem can be found using the Pythagorean theorem.
  • The apothem can be found using the tangent ratio.
  • The length of the apothem is approximately 2.5 cm.
lara31 [8.8K]3 years ago
3 0

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.

The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.

Point D is the midpoint of BC,

b=\frac{BC}{2}=\frac{8.7}{2}=4.35

Use Pythagorean theorem in triangle COD. So, option 1 is correct.

OC^2=OD^2+DC^2

5^2=a^2+(4.35)^2

25=a^2+18.9225

a=\pm 2.46526

a\approx\pm 2.5

The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.

The line OC bisects the angle C.

tan(30^{\circ})=\frac{a}{b}

\frac{1}{\sqrt{3}=\frac{a}{4.35}

a\approx\pm 2.5

Therefore option 2 is correct.

The perimeter of an equality triangle is

P=3a=3(8.7)=26.1

Option 3 is incorrect.

A=\frac{\sqrt{3}}{4}a^2=\frac{\sqrt{3}}{4}(8.7)^2=32.77

Option 5 is incorrect.

Therefore options 1, 2 and 4 are correct.

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Answer:

Total space in the box is 75.2 cm³.

Step-by-step explanation:

Cone:

  • It is three dimension shape.
  • It has a vertex.
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  • The lateral surface area is πrl
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The artificial carrot that are cone shaped with a radius 1 cm and a height of 6 cm.

So, the volume of the cone is =\frac13 \pi r^2h

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The volume 1 dozen carrots is = (12×2π)   cm³

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The volume of the box= The volume of the 1 dozen carrot.

Total space in the box is 75.2 cm³.

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Whats the Area of a circle with a radius of 2.6? use 3.141592654 for pie
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