This blog is the disorganized ramblings of College-Prep Tutor Phillip McCaffrey, who loves to help high school students beat the SAT, ACT and any other test for that matter [because tests don't REALLY matter in the long run].
philmccaffrey@gmail.com
Tuesday, August 29, 2006
Do you know the BIG SIX Triangles
note: Blogger no longer considers me a spammer, yeah.
The SAT uses 6 triangles over and over again, over 90% of the triangles you will see on the SAT are one of the big six.
Name them (answer in the comment to follow): 1. 2. 3. 4. 5. 6.
1. equilateral triangle - all sides and angles (60) are equal 2. isoceles - two sides and two angles are equal 3. 45-45-90 (an isoceles right triangle); a square split from corner to corner 4. 30-60-90; an equilateral perfectly split through one angle 5. 3-4-5 right triangle 6. 5-12-13 right triangle
bonus can you name two other "perfect" right triangles, that is that the measurement of their sides are integers
As an answer to the bonus: the two other "perfect" right triangles are 8, 15, 17 and 7, 24, 25.
Actually there can be an infinite number since these four triplets have infinite multiples. In addition the pattern can be continued with such numbers as "9, 40, 41" and "19, 180, 181." etc.
2 comments:
1. equilateral triangle - all sides and angles (60) are equal
2. isoceles - two sides and two angles are equal
3. 45-45-90 (an isoceles right triangle); a square split from corner to corner
4. 30-60-90; an equilateral perfectly split through one angle
5. 3-4-5 right triangle
6. 5-12-13 right triangle
bonus can you name two other "perfect" right triangles, that is that the measurement of their sides are integers
As an answer to the bonus: the two other "perfect" right triangles are 8, 15, 17 and 7, 24, 25.
Actually there can be an infinite number since these four triplets have infinite multiples. In addition the pattern can be continued with such numbers as "9, 40, 41" and "19, 180, 181." etc.
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