Similar triangles. How does 4/6 turn into 2h/3 ?

nukeman · Nov 5, 2012

1. The problem statement, all variables and given/known data

r/h = 4/6

This turns into: r = 2h/3

How, can someone please refresh me? I am doing a related rates problem, and I for this! :(

2. Relevant equations

3. The attempt at a solution

dextercioby · Nov 5, 2012

Isn't 4/6 = 2/3 ? (Everything is written in basis 10).

Mark44 · Nov 5, 2012

nukeman said: ↑

1. The problem statement, all variables and given/known data

r/h = 4/6

This turns into: r = 2h/3

How, can someone please refresh me? I am doing a related rates problem, and I for this! :(

2. Relevant equations

3. The attempt at a solution

r/h = 4/6 = 2/3

Now multiply both sides of this equation by h.

nukeman · Nov 5, 2012

4/6 * x = 2x/3x ?

Why is just 2x/3 ?

dextercioby · Nov 5, 2012

The multiplication affects only the numerator. Think about it as (6/4)x5 = (6:4)x 5 = 6:4x5 = 6x5:4 = 30:4 = 7.5

HallsofIvy · Nov 5, 2012

If you are doing things involving "related rates" and Calculus, I think we have right to assume that you can do arithmetic! 4/6= (2*2)/(2*3)= 2/3!!!

Mark44 · Nov 5, 2012

HallsofIvy said: ↑

If you are doing things involving "related rates" and Calculus, I think we have right to assume that you can do arithmetic! 4/6= (2*2)/(2*3)= 2/3!!!

And if this assumption by us is incorrect, then you are going to have a very difficult time in calculus.

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Similar triangles. How does 4/6 turn into 2h/3 ?

nukeman

dextercioby

Mark44

Staff: Mentor

nukeman

dextercioby

HallsofIvy

Mark44

Staff: Mentor

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