When designing a pattern, Erica rotated a triangle 90 degrees about the midpoint of one side to create a second triangle. If the area of the original triangle is 48 square inches, what is the area of the second triangle?

Question

parthkohli · Answer

I guess the area won't change, as the area remains the same whenever you rotate any figure. I may be wrong though.

anonymous · Answer

area wont change

apoorvk · Answer

it's the same triangle - just been rotated. so its dimensions shall remain the same. so what do you think would happen to the area if the dimensions are the same (dimensions include the sides, altitude etc.)

apoorvk · Answer

@ParthKohli there is no reason why you'd be wrong - if I picked you up, and hung you upside down from the ceiling, would your volume change?

parthkohli · Answer

No, but I thought that rotating a triangle on its midpoint on one side would change the dimensions.

parthkohli · Answer

I wish I could decrease my volume by this method :)

parthkohli · Answer

I'm 85 now!

parthkohli · Answer

I've been warned about this, that's why I said I ain't sure.

apoorvk · Answer

If I am rotating the complete triangle, every point on the triangle is moving with the same orientation - so nothing happens to it.

parthkohli · Answer

Ahh :)

apoorvk · Answer

What you are thinking is maybe - that I am keeping one dimension fixed, and then rotating the rest of the figure around some axis - in that case the area may change.

parthkohli · Answer

Yeah, that's what I was thinking. You read my mind, apoorv. :D

parthkohli · Answer

@candence1251 As apoorv told us, did you get it now?