What is 5x to the power of 2-1x to the power of 2?

The only set of side lengths that proves that the statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is false is;

Option A; 4 cm, 5 cm, 7 cm

To answer this question, let us look at each option;

Option A; 4 cm, 5 cm, 7 cm

Thus; 4² + 5² = 51 and 7² = 49

Since the sum of the square of the two shorter sides is not equal to the square of the longest side, then this proves the statement is false.

Option B; 5 cm. 12 cm 13 cm

Thus; 5² + 12² = 169 and 13² = 169

Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.

Option C; 3 cm, 4 cm, 5 cm

Thus; 3² + 4² = 25 and 5² = 25

Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.

Option D; 9 cm, 12 cm, 15 cm

Thus; 9² + 12² = 225 and 15² = 225

Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.

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