Question

What famous Pythagorean triple has values G, 21, and 29?

Answer 1

A Pythagorean triplet is in form a,b,c where \(a^2 + b^2 = c^2\)

Answer 2

So, \(g^2 + 21^2 = 29^2\)
Just solve for g.

Answer 3

a^2+441=841 Subtract 441 on both sides and get sqrt"400". Once you do the square root of both sides, it becomes a=20.

Answer 4

LOL, Im an old guy who has forgotten his math,,,,how do I solve for g

Answer 5

21^2 = 441
29^2 = 841.

\( \color{Black}{\Rightarrow g^2 + 441 = 841 }\)
\( \color{Black}{\Rightarrow g^2 = 400}\)
\( \color{Black}{\Rightarrow g = \sqrt{400}}\)
400 is a perfect square I believe ^_^

Answer 6

Yep, it goes down to 20.

Answer 7

Exactly. :D

Answer 8

I'm lost, I'm sorry so g=400?

Answer 9

No..

Answer 10

\( \color{Black}{\Rightarrow g^2 = 400 }\)
If you find the square root of both sides:

\( \color{Black}{\Rightarrow g = \sqrt{4000} }\)

Answer 11

\(g = \sqrt{400}\)
correction

Answer 12

so g is the square root of 400

Answer 13

Yeah, but square root of 400 is an integer :)