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Similar Triangles-- Brushup time, more like I need help

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Curly05
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Similar Triangles-- Brushup time, more like I need help [#permalink] New post   Updated on: 16 Jul 2003, 06:50
Explain Formula


Why is ( BC/ DE) ^2



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Originally posted by Curly05 on 16 Jul 2003, 05:53.
Last edited by Curly05 on 16 Jul 2003, 06:50, edited 2 times in total.
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Re: Similar Triangles-- Brushup time, more like I need help [#permalink] New post   16 Jul 2003, 06:24
Curly05 wrote:
File is too big.

What is the similar triangle area formula, I forgot!

AB
---
DC



the ratio of all the corresponding sides is the same for any similar triangles.
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Re: Similar Triangles-- Brushup time, more like I need help [#permalink] New post   17 Jul 2003, 05:57
Why is ( BC/ DE) ^2, or what is the area's formula for similar triangle.

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Re: Similar Triangles-- Brushup time, more like I need help [#permalink] New post   17 Jul 2003, 11:28
Curly05 wrote:
Explain Formula


Why is ( BC/ DE) ^2


I am assuming you want to know by asking "why is (BC/DE)^2" (which is like asking "why is A + B?" why (BC/DE)^2 represents the ratio of the area of the smaller triangle to that of the upper triangle.

If the triangles are similar, then the proportion of any linear dimension between the two is constant. Since area is a 2 dimensional unit, the proportion between the two is that constant squared. (if b1 = kb2 and h1 = kh2, then 1/2*b1h1 = 1/2(k^2)b2h2.

Since BC/DE is the proportionallity constant between the linear dimensions of the smaller to larger triangle, (BC/DE)^2 is the proportionality constant between their areas.

Got it?



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Re: Similar Triangles-- Brushup time, more like I need help [#permalink]
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