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3 years ago

Could someone please explain how to solve for the area?

Mathematics

2 answers:

sladkih [1.3K]3 years ago

8 0

9514 1404 393

Answer:

6.9 m²

Step-by-step explanation:

All of the sides are the same length. The altitude meets the base at its midpoint, so the altitude (h) of the triangle can be found using the Pythagorean theorem.

h² + 2² = 4²

h² = 12

h = 2√3

Then the area is ...

A = 1/2bh

A = (1/2)(4 m)(2√3 m) = 4√3 m² ≈ 6.9 m²

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If you work through the above area formula in generic terms, you find the area of an equilateral triangle to be ...

A = (s²/4)√3 . . . . . where s is the side length

Another approach is to treat the figure as a 3-gon and use the n-gon area formula that uses the perimeter. That formula is derived here brainly.com/question/22386162

It is ...

A = P²/(4n·tan(180°/n))

For a triangle with side length s, this is ...

A = (3s)²/(4·3·tan(60°) = (s²/4)√3 . . . . same as above

Ipatiy [6.2K]3 years ago

6 0

Answer:

area of equilateral TRAINGLE =√3/4 A²=√3/4×4²=6.9mi² is your answer

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3 years ago

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3 years ago

Read 2 more answers

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IgorLugansk [536]

Answer:

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3 years ago

On May 17th Jane took out a loan for $33,000 at 6% to open her law practice office the loan will mature the following year on Ja

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Answer:

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Step-by-step explanation:

Step 1 : Write the formula for calculating simple interest.

Simple Interest = P x R x T

100

P: Principal Amount-The loan taken (30,000)

R: Interest rate at which the loan is give (6)

T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)

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3 years ago