Given two similar triangles, how does one use proportions to find the lengths of one of the sides of one of the triangles? answer in complete sentences, and give an example of how proportions can work.

➷ As they are similar triangles, there will be a scale factor between them. You may be given one pair of values on the triangle. Divide the larger value by the smaller value in order to find the scale factor between the triangles. For example, if the larger triangle has a length of 6cm and the smaller triangle has a length of 3cm, the scale factor would be 2. You would then multiply the given side by the scale factor to get the length.

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↬ ʜᴀɴɴᴀʜ ♡

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb