3 years ago

Number 21 please help me

Mathematics

1 answer:

ale4655 [162]3 years ago

6 0

Answer:

Yes, doubling the numbers also results in a Pythagorean Triple

Step-by-step explanation:

The reason 3, 4, and 5 form a Pythagorean Triple is because they satisfy the Pythagorean Theorem, which is

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Doubling the numbers results in...

6² + 8² = 10²

36 + 64 = 100

100 = 100

They both satisfy the equation.

Another way to think of is that if we double something, we multiply every thing by 2, so we can write the equation like this...

2(a² + b² = c²) so you can read it as two times any numbers that make a Pythagorean Triple

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