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

Area in polar cordinates, find the area of the region within the cardioid r...

find the area of the region within the cardioid r=1-cos

Find the total volume of the hay stack, The lower portion of a hay stack is...

The lower portion of a hay stack is an inverted cone frustum and the upper part is a cone find the total volume of the hay stack.

Quadriatic-equations, Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal r...

Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b = ? Ans: Condition that a quadratic equation ax² + bx + c = 0 has equal roots is: Its discriminant, b² - 4ac = 0 A

What was the total cost of the copies, Mary made 34 copies at the local off...

Mary made 34 copies at the local office supply store. The copies cost $0.06 each. What was the total cost of the copies? Multiply 34 by $0.06 to ?nd out the total cost; 34 × $0

Change of base of logarithms, Change of base: The final topic that we have...

Change of base: The final topic that we have to look at in this section is the change of base formula for logarithms. The change of base formula is,

Find out the tangent line to the parametric curve, Find out the tangent lin...

Find out the tangent line(s) to the parametric curve specified by X = t5 - 4t3 Y = t2 At (0,4) Solution Note that there is actually the potential for more than on

What is the expected value of perfect information, Question: The follow...

Question: The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. (a) Construct a decision tr

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