Emily778 2 years ago A piece of art is in the shape of an equilateral triangle with sides of 6m. Find the area of the piece of art.

1. johnweldon1993

you know the area of a triangle is $\frac{ 1 }{ 2 } b h$ |dw:1370581830579:dw| 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

2. Emily778

3. johnweldon1993

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) $\frac{ 1 }{ 2 } (6) (height)$

4. Emily778

I lost my calc...:(

5. johnweldon1993

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

6. Emily778

thanks :)

7. johnweldon1993

anytime :)

8. Emily778

Do go to CA?

9. Emily778

@johnweldon1993

10. johnweldon1993

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