Answer would be option(A){6, 8, 10}, (D) {12, 16, 20} and (F) {15, 20, 25} are examples of Pythagorean Triples
What is Pythagoras theorem?
Pythagoras theorem states that, a right-angled triangle, the square of the one side is equal to the sum of the squares of the other two sides.
{6, 8, 10}, {12, 16, 20} and {15, 20, 25} is the three Pythagorean Triples where any 2 side the sum of the squares adds up to be equal the other side.
We can test this:
6²+ 8² = 10² ⇒ 100=100
12²+16²= 20² ⇒ 400=400
15²+ 20²= 25²⇒ 625=625
Hence, {6, 8, 10}, {12, 16, 20} and {15, 20, 25} is the three Pythagorean Triples
Learn more about Pythagoras theorem here:
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