The lengths of two adjacent sides of a parallelogram are 21feet and 28 feet. If

Question

The lengths of two adjacent sides of a parallelogram are 21feet and 28 feet. If the length of a diagonal of the problem is 35feet, show how the parallelogram is a rectangle. If you are unable to justify this, its ok but i need to besure what the answer is. Thanks! I'll take time to rate youranswer. The lengths of two adjacent sides of a parallelogram are 21feet and 28 feet. If the length of a diagonal of the problem is 35feet, show how the parallelogram is a rectangle. If you are unable to justify this, its ok but i need to besure what the answer is. Thanks! I'll take time to rate youranswer.

Explanation / Answer

For a parallelogram to be a rectangle the diagonal and two adjacentsides must form a right triangle. Therefore, due to pythagorianstheorem, a2 + b2 = c2. Inyour problem the sides are 21 and 28 and a diagonal of 35. 212 + 282 = 352 1225 = 1225 The corners of the parallelogram are right angles and therefore itis a rectangle.

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