Question

A piece of art is in the shape of an equilateral triangle with sides of 6m. Find the area of the piece of art.

Answer 1

you know the area of a triangle is

\[\frac{ 1 }{ 2 } b h\]



as you can see...you have 2 right triangles

the hypotenuse is 6...and the bottom side is 6/2 = 3

so now you have 1 side...the hypotenuse...find the other side *which will be your height* using the Pythagorean theorem

3² + b² = 6²

Answer 2

thats the answer?

Answer 3

no ..what you get from

b = √(6² - 3²)

will be your height

Then you plug THAT into that other equation along with the base length (6)

\[\frac{ 1 }{ 2 } (6) (height)\]

Answer 4

I lost my calc...:(

Answer 5

well lets see 36 - 9 = 27

√ 27 = 5.19615242270

that is your height

\[\frac{ 1 }{ 2 } (6) (5.19615242270)\]

and that comes out to 15.59 would be the area

Answer 6

thanks :)

Answer 7

anytime :)

Answer 8

Do go to CA?

Answer 9

@johnweldon1993

Answer 10

No I do not sorry, I'm actually in University :)