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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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The number of significant figures in the numbers are

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<h3>How to determine the number of significant figures in the following numbers?</h3>

As a general rule, the zeros before and after the non-zero figures are not significant.

Using the above rule, we have:

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(12.93cm) x (2.34cm) x (8cm) = 242.05 cm^3 because 12.93 has 4 significant figures

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450mL = 0.45 L

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2.3 dm = 0.00023 km

because 1 dm = 0.0001 km

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a. 2.34miles = 3.76 km (1mile = 1.61km) -- given

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There are 9 times as many cubes in the black bag as in the green bag. The green bag has 12 cubes. How many cubes are in the blac
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