What is pythagorean triples, Mathematics

Assignment Help:

What is Pythagorean Triples?

A set of three numbers a, b, and c that can satisfy the equation

A2+b2= c2,

is called a Pythagorean triple.

The following is a list of some Pythagorean triples:

n is any natural number (n= 1,2,3)

Example 1: Given a right triangle, where a=6 and b=8, find side c, using Pythagorean triplets. If you factor 2 out of 6 (2 x 3) and 2 out of 8 (2 x 4), you get 3 and 4. These results are part of the Pythagorean triplet (3, 4, 5).  The 3 sides match the triplet (3, 4, 5) by a multiple of 2.
c = 2.5=10.

Example 2: Given a right triangle, where a=15 and c=39, find b, using Pythagorean triplets. The greatest common factor in 15 and 39 is 3. Factor 3 out of 15 and out of 39, giving you 5 and 13.  5 and 13 are part of the Pythagorean triplet: (5, 12, 13). The missing number is 12 multiplied by 3.
B= 3.12 =36


Related Discussions:- What is pythagorean triples

Permutations and combinations, number of ways that a mixed doubles tennis g...

number of ways that a mixed doubles tennis game can be arranged from 7 couples if no husband and wife play in the same game is??

Explain different base numbers, Explain Different Base Numbers? In mult...

Explain Different Base Numbers? In multiplying or dividing two exponential expressions with different base numbers, write out the exponential expressions as products. Since

Regression model, Consider the regression model  Y i = a + bX i + u i ,  ...

Consider the regression model  Y i = a + bX i + u i ,  where the  X i   are non-stochastic and the  u i   are independently and identically distributed with  E[u i ] = 0  and  va

Statistic, The mean height of eight children is 136cm. if the height of sev...

The mean height of eight children is 136cm. if the height of seven children are 143,125,133,140,120,135 and 152,find the height of eighth student.

Give an examples of simplifying fractions , Give an examples of Simplifying...

Give an examples of Simplifying Fractions ? When a fraction cannot be reduced any further, the fraction is in its simplest form. To reduce a fraction to its simplest form,

Find the interval of validity, Solve the subsequent IVP and find the interv...

Solve the subsequent IVP and find the interval of validity for the solution. y' + (4/x) y = x 3 y 2 ,       y(2) = - 1,  x > 0 Solution Thus, the first thing that we re

Life mathametics, 20% of the total quantity of oil is 40 litres find the to...

20% of the total quantity of oil is 40 litres find the total quantity of oil in litres

One of these food groups, In a collection of 30 dissimilar birds, 15 eat wo...

In a collection of 30 dissimilar birds, 15 eat worms, 18 eat fruit, and 12 eat seeds. Accurately 8 eat worms and seeds, 8 eat worms and fruit, 7 eat fruit and seeds, and 4 eat each

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd