SOLUTION: Rectangle ABCD has dimensions of 7 units by 5 units.Find the length of each of its diagonals.

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Question 216504: Rectangle ABCD has dimensions of 7 units by 5 units.Find the length of each of its diagonals.
Answer by drj(1380) About Me  (Show Source):
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Rectangle ABCD has dimensions of 7 units by 5 units.Find the length of each of its diagonals.

Step 1. Use the Pythagorean Theorem: The sum of the square of the legs (7 and 5) is equal to the sum of the square of the hypotenuse d(or diagonal in this case).

Step 2. Then, 5%5E2%2B7%5E2=c%5E2 or 25%2B49=74=c%5E2

Step 3. Taking the square root to both sides of the equation yields c=sqrt%2874%29=8.60

Step 4. Each diagonal has a length of c=sqrt%2874%29=8.60 units.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J