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Easy trick to remember (or make your own) rt triangle triplets

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Joined: 28 Apr 2016
Posts: 95
Easy trick to remember (or make your own) rt triangle triplets  [#permalink]

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New post 18 May 2017, 05:36
Thought of sharing this easy trick to make triplets of right angle triangles

Do note that this trick works only when the short leg is an odd number

let short leg of the rt angle triangle = x

Step 1: take the square of x.
Let's say x = 5

Step 2: square x
5^2 = 25

Step 3: divide x^2 by 2
25/2 = 12.5

Step 4: subtract 0.5 for long leg, add 0.5 for hypotenuse
short leg = 12, hypotenuse = 13


To prove with Pythagoras

5^2 + 12^2 = 13^2
25 + 144 = 169



Kudos if you like this post :-D
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Re: Easy trick to remember (or make your own) rt triangle triplets  [#permalink]

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New post 19 May 2017, 17:46
Fun, I like it!

This is a little more general, if you find this sort of thing interesting. Euclid's formula for generating Pythagorean triples: https://en.wikipedia.org/wiki/Pythagore ... g_a_triple

However - you definitely won't need that on the GMAT. I've never seen a Pythagorean triple be tested on the GMAT other than (3,4,5) and (5,12,13). You may also want to remember (8,15,17) and (7,24,25) just to be very safe.
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Re: Easy trick to remember (or make your own) rt triangle triplets &nbs [#permalink] 19 May 2017, 17:46
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Easy trick to remember (or make your own) rt triangle triplets

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