Prove directly:
Give n that a, b, c is a Pythagorean triple that qa, qb, and qc is a Pythagorean triple where q is an element of R and q does not equal 0.

Question

Prove directly:
Give n that a, b, c is a Pythagorean triple that qa, qb, and qc is a Pythagorean triple where q is an element of R and q does not equal 0.

anonymous · Answer

What happens when you enlarge any triangle by a factor of 2? (sides a,b,c)

The sides become 2a, 2b and 2c.

Same here. Except the Pythagorean triple implies a right triangle. And the factor is q.

Starting with a right triangle with sides a,b,c we enlarge by a factor of q. The sides become qa, qb and qc. And what about the triangle? Still a right triangle. Therefore qa, qb and qc are a Pythagorean triple.

Hope that makes sense :)

jhonyy9 · Answer

for an example

3,4 and 5 what mean that 9+16=25

so than q=2 and will get

2*3=6 ,2*4=8 and 2*5=10

what mean that 36+64=100

hope now this is more clearly !!!

anonymous · Answer

Didn't I solve it for you two hours ago?

anonymous · Answer

http://openstudy.com/updates/52a6c8e4e4b07f1b6318eb37