SOLUTION: If the area of a square is 169 cm2, what is the length of the diagonal?

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Question 230563: If the area of a square is 169 cm2, what is the length of the diagonal?
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
If the area of a square is 169 cm2, what is the length of the diagonal?

Step 1. The area of a square with side square cm.

Step 2. Take the square root to get cm.

Step 3. The diagonal splits the square into two right triangles. As a result, we can use the Pythagorean Theorem which says that the sum of the square of the legs is equal to the hypotenuse. The legs are the sides of the square given as s and let d be the diagonal. Then,





Take the square root to both sides of the equation









Step 4. ANSWER: The diagonal cm or cm

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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