Tuesday, February 28, 2012

How Tall is That? Using Similar Triangles

The figure above shows a problem of: How tall is the flagpole?  Our 8th grade Math investigation showed a way to find out the height of a cliff using similar triangles like the ones pictured above.  It is important to remember that similar figures share corresponding sides and corresponding angles.  Corresponding angles have equal measures, while corresponding sides have the same ratio.  In the picture above, the corresponding sides on the base of the similar triangles show a ratio of 15.5/4 which equals 3.875

Several eighth graders discovered a strategy to figure out the missing side by using the ratio multiplied by the corresponding side.  For example if we wanted to find the height of the flag pole, this strategy says we take 3.875 times 3, which gives the height of 11.625.  

If you want to find out more about how to use this method to find the height of familiar objects, such as skyscrapers, trees, or towers check out the website Connecting Geometry   
Another fun pair of links to sharpen your math skills are Math Videos at Khan Academy.  Check out the video links below and more great videos on Khan Academy.

2 comments:

  1. Very impressive blog, very well described problem and hint, I think math's requires more practice than other subject so one should try to solve math’s problem very well.I have to share a simple definition regarding this problem as-Similar triangles both have equal angles but sides have different sizes. Similar triangles are also known as equiangular triangle.
    Properties of Similar Triangles

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    1. Thanks for visiting the blog Harun. I agree that math does require more practice than other subjects. The definition you shared about similar triangles is well said. I enjoyed the web link that you shared too. There are some great examples and practice related to similar triangles. Thanks again for visiting!

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