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

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Manager
Joined: 28 Apr 2016
Posts: 84
Easy trick to remember (or make your own) rt triangle triplets  [#permalink]

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18 May 2017, 05:36
1
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
Manhattan Prep Instructor
Joined: 04 Dec 2015
Posts: 832
GMAT 1: 790 Q51 V49
GRE 1: Q170 V170
Re: Easy trick to remember (or make your own) rt triangle triplets  [#permalink]

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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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Chelsey Cooley | Manhattan Prep | Seattle and Online

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Re: Easy trick to remember (or make your own) rt triangle triplets  [#permalink]

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19 Dec 2018, 12:15
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Easy trick to remember (or make your own) rt triangle triplets   [#permalink] 19 Dec 2018, 12:15
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