tag:blogger.com,1999:blog-28172905.post2339352258773350992..comments2024-03-03T17:53:46.947-05:00Comments on (x, why?): Daily Regents: Right Triangle Altitude Theorem (January 2016)(x, why?)http://www.blogger.com/profile/17499160002806879025noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-28172905.post-52678291915078097322023-06-15T17:48:18.477-04:002023-06-15T17:48:18.477-04:00Feel free to write New York State and have them up...Feel free to write New York State and have them update the question in their archives. You never know -- they've done it before.<br /><br />One could argues that since they referenced altitude CD in the first place of the question that this is the altitude to which they are referring. Moreover, when one applies the Right Triangle Altitude Theorem, altitude CD is the one generally being referenced.<br /><br />That said, I don't think any students read so much into this problem that they believed that the legs of the right triangle couldn't be 6 sqrt(2) either. <br /><br />Thank you for stopping by the blog.(x, why?)https://www.blogger.com/profile/17499160002806879025noreply@blogger.comtag:blogger.com,1999:blog-28172905.post-4683627855524986892023-06-09T19:26:33.379-04:002023-06-09T19:26:33.379-04:00From my perspective question 22 has no correct ans...From my perspective question 22 has no correct answer because the question does not refer to altitude CD; it just says produce "an altitude." There are three altitudes in any triangle. In this right triangle, its two legs (AC and BC) are altitudes, as well as CD. Using the values from choice (2), we could produce an altitude that measures 6*sqrt(2): AD = 3 and AB = 24 --> CD = 3*sqrt(7). Using the Pythagorean Theorem on triangle ADC, we find that AC = 6*sqrt(2). Thus, the lengths given in choice (2) do produce an altitude (i.e., altitude AC) that measures 6*sqrt(2).Anonymousnoreply@blogger.com