The premiters of two equilateral triangles are in the ratio 2:3. If the perimeter of the smaller triangle is 16 cm what is the measure of a side of the larger triangle?
Permimeter is a linear ratio (3:2), and ratio of sides is also a linear ratio (3:2). SO if the shorter is 16, the longer one is 16*3/2=?
could I do it in a proportion?
Yes, you could do it in proportion as long as both measurements are linear, e.g. perimeter and side.
how?
...SO if the shorter is 16, the longer one is 16*3/2=?
I got 10 something but it's not one of the answers
16*3/2 has to be greater than 16, how did you get 10?
3/2 = .6 repaeating x 16 = 10.6 repeating
and 16/1 x 2/3 = 10.6 reapeating
3/2 = 3 divided by 2 = 1.5
Think of
(16*3)/2 = ?
That should make it easier!