## Emily778 Group Title A piece of art is in the shape of an equilateral triangle with sides of 6m. Find the area of the piece of art. one year ago one year ago

1. johnweldon1993 Group Title

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 Group Title

3. johnweldon1993 Group Title

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 Group Title

I lost my calc...:(

5. johnweldon1993 Group Title

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 Group Title

thanks :)

7. johnweldon1993 Group Title

anytime :)

8. Emily778 Group Title

Do go to CA?

9. Emily778 Group Title

@johnweldon1993

10. johnweldon1993 Group Title

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