Question

*A right triangle that has integer lengths of its sides is called the “Pythagorean triangle”. This very special case when a right triangle has integer lengths of sides. Brilliant Pythagoras of Samos knew a lot of those. Below are the formulas that allow to generate infinite number of “Pythagorean triplets”:

a=m2–n2; b=2mn; c=m2+n2


Find a, b, and c using the formulas for m=3, n=2 then check if the obtained values are sides of a right triangle (check if they satisfy the Pythagorean Theorem)

Answer 1

the answer is 5,12,13

Answer 2

Explanation:

a = m^2 - n^2

m = 3

n = 2

a = 3^ - 2^

a = 5

========

b = 2*m*n

b = 2*3*2

b = 12

==========

c = m^2 + n^2

c = 3^2 + 2^2

c = 9 + 4

c = 13

============

So the three sides are 5,12,13.

Do these three work?

5^2 = 25

12^2 = 144

c^2 = 169

25 + 144 = 169

That's what c^2 =.

The Pythagorean Triple does work in this case.