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

Describe the introduction to integers, Describe the Introduction to Integer...

Describe the Introduction to Integers ? Integers include the positive and negative whole numbers, such as -4, -3, -2, -1, 0, 1, 2, 3, 4, and so on. A negative number has a "

Quadratic equation, What do we mean by the roots of a quadratic equation ?

What do we mean by the roots of a quadratic equation ?

Geometry, write a proof on proving triangles are congruent.

write a proof on proving triangles are congruent.

Net Present Value, A business has the opportunity to expand by purchasing ...

A business has the opportunity to expand by purchasing a machine at a cost of £80,000. The machine has an estimated life of 5 years and is projected to generate a cashflow of £20,0

Quadric surfaces, identify 4 sketch the quadric surfaces

identify 4 sketch the quadric surfaces

Transportation problem, 12. List the merits and limitations of using North ...

12. List the merits and limitations of using North West corner rule.

Pi, is that rational or irrational number

is that rational or irrational number

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Determine the area of the walkway, Mark is preparing a walkway around his i...

Mark is preparing a walkway around his inground pool. The pool is 20 by 40 ft and the walkway is intended to be 4 ft wide. Determine the area of the walkway? a. 224 ft 2 b.

Conditional probability: dependent events, We can define the conditional pr...

We can define the conditional probability of event A, given that event B occurred when both A and B are dependent events, as the ratio of the number of elements common in both A an

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