I need to find the length of each side of the triangle with the given extended ratio. The extended ratio is AC:BC:AB is 2:1:2. Also side AC=2x, BC=4, and AB=x+4. Please help, my teacher gave me this packet but didn't teach anything!

Question

I need to find the length of each side of the triangle with the given extended ratio.  The extended ratio is AC:BC:AB is 2:1:2.  Also side AC=2x, BC=4, and AB=x+4.  Please help, my teacher gave me this packet but didn't teach anything!

anonymous · Answer

I'll help!
Can you tell me, from what you just said, which two sides are equal to each other?

anonymous · Answer

(look at the ratio)

anonymous · Answer

AC and AB

anonymous · Answer

Okay, so we know 2x is equal to x+4
If 2x=x+4, do you know how to find x?

anonymous · Answer

I think...x would equal 4

anonymous · Answer

I think so too... So now all we have to do is fill x in for each side.
Side 1: 2*4
Side 2: 4
Side 3: 4+4
I just realized there is no variable in Side 2. We didn't need to find x... If side 2 is half of the size of both side 1 and side 3, then they are 4*2... Side 1 and Side 3 are both equal to 8.

anonymous · Answer

Thank you so much!!! Can you help me with one more?

anonymous · Answer

yep, just tag me.