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Chapter 6: Q17. (page 222)

Suppose you know only that the length of one side of a rectangle is 100.What can you say about the length of a diagonal?

Short Answer

Expert verified

The length of diagonal isdiagonal>100.

Step by step solution

01

Step 1. Apply the concept of the rectangle.

A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle.

02

Step 2. Step description.

Consider that the rectangle ABCD as below:

03

Step 3. Step description.

Any diagonal of rectangle makes right-angle triangle likeBDC and ADB.

Thus, the diagonal is the hypothenuse of the right triangle. Hypotenuse is the greatest side of any triangle.

Therefore, the diagonal of rectangle must be greater than 100.

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