35.7k views
1 vote
Given the Pythagorean Triple, double each number to state one other multiple that is also a Pythagorean Triple.

User Blazina
by
7.7k points

1 Answer

1 vote

Doubling each number to give (6, 8, 10) is another Pythagorean Triple.

Checking if doubling each number is also a Pythagorean Triple.

From the question, we have the following parameters that can be used in our computation:

Triple: 3 4 5

Doubling each number in the Pythagorean Triple (3, 4, 5) gives:

(6, 8, 10).

Checking if (6, 8, 10) satisfies the Pythagorean Theorem, we have

6² + 8² = 10²

This gives

36 + 64 = 100

Evaluate

Hence, (6, 8, 10) is another Pythagorean Triple.

Question

Given the Pythagorean Triple, double each number to state one other multiple that is also a Pythagorean Triple.

Triple: 3 4 5

User Benny Bottema
by
7.0k points