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Mathematics 20 Online
OpenStudy (sagewilson):

Image below I will give a medal, no direct answers. Find the area of a triangle whose base is 2√3 in. and height is 3√3 in. 6√3 in.² 9 in.² 18 in.²

OpenStudy (sagewilson):

Directrix (directrix):

The area of a triangle is found by: A = (1.2) * b * h

OpenStudy (sagewilson):

Okay thank you, but how would I figure out the value of 2√3 and 3√3 or would I just have to multiply them and the √3 would stay the same?

Directrix (directrix):

A = (1/2) * 2√3 * 3√3

Directrix (directrix):

A = (1/2) * 2 * 3 √3 * √3 What is square root of 3 times square root of 3?

OpenStudy (sagewilson):

Wait, how did you get √3 at the end of the equation?

Directrix (directrix):

There are two square roots of 3 in the problem. I moved them so that they are together. The problem is the same.

OpenStudy (sagewilson):

Okay.

OpenStudy (sagewilson):

The square root of 3 times the square root of 3 would be 2.99999997378

Directrix (directrix):

>> the √3 would stay the same? No. That is why I put them together So that you could multiply √3 * √3 and get √9 which is just 3

OpenStudy (sagewilson):

Oh right I did it wrong.

Directrix (directrix):

A = (1/2) * 2 * 3 √3 * √3 A = (1/2) * 2 * 3 * 3 A =

OpenStudy (sagewilson):

It would be 9in

Directrix (directrix):

9 square inches. Area is measured in square units.

OpenStudy (sagewilson):

Alright. Thank you for your help.

Directrix (directrix):

You are welcome.

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