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- Dec 1st 2013, 08:19 AMvegasgunnersimilar triangles
- Dec 1st 2013, 12:27 PMSorobanRe: similar triangles
Hello, vegasgunner!

We have 30-60-90 right triangles.

Code:`B o 1`

* * D

*60 o

* *_ *

2 * *√3 * 3

*30* *

* * *

** 60 30 *

C o * * * *_ * * * o A

2√3

We can let $\displaystyle BD = 1$ and determine the lengths ofthe segments.*all*

Now you can calculate the areas of the triangles and their ratio.

- Dec 2nd 2013, 12:11 PMHallsofIvyRe: similar triangles
Note that the two acute angles are "complementary", they add to 90 degrees. Now notice that one of the acute angles in the "large" triangle is also an angle in one of the two smaller triangles.

- Jan 2nd 2014, 07:13 PMmoissessadamRe: similar triangles
one side and one angle of both the trianles are common and both are right angled so its from sas its complementary.