Question

Does the set of numbers form a Pythagorean triple? Explain.

24, 20, 32

Choose the correct answer below.

No, because the given numbers satisfy the equation a? + b2 = c?

Yes, because the given numbers satisfy the equation a? + b2 = c2.

Yes, because the given numbers do not satisfy the equation a? + b2 =c2.

No, because the given numbers do not satisfy the equation a² + b2 =c2.

Answer 1

D. No, because the given numbers do not satisfy the equation a² + b² = c²

Explanation:

For the set of numbers; 24, 20, 32, to form a pythagorean triple, they must satisfy the equation a² + b² = c².

Where, c is the longest side (hypotenuse), while a and b are the two other legs.

Let's find out.

a = 20, b = 24, c = 32

Plug in the value into the equation

20² + 24² = 32²

976 = 1,024 (this is not true).

976 is not equal to 1,024.

The set of given numbers does not form a pythagorean triple because it does not satisfy the equation a² + b² = c².