Question

Do the following lengths satisfy the Pythagorean Theorem? Lengths =14, 50, 48. Yes No

Answer 1

Answer:

  yes

Step-by-step explanation:

  14² +48² = 196 +2304 = 2500 = 50²

The three lengths (14, 48, 50) are a Pythagorean triple.

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Additional comment

The two smaller numbers correspond to side lengths. The larger one corresponds to the hypotenuse length.

We typically write the numbers of a Pythagorean triple in increasing order, but the order doesn't really matter. As sides of a triangle, the triangle formed is a right triangle, regardless of the order.