Question

Express the side length of a square as a function of the length d of the square's diagonal. Then express the area as a function of the diagonal length.

Name: Express the side length of a square as a function of the length d of the square's diagonal. Then express the area as a function of the diagonal length.
Uploaded: 2022-02-07T11:59:36-08:00
Duration: 1 min 23 s
Channel: Kaanan S
Description: Express the side length of a square as a function of the length d of the square's diagonal. Then express the area as a function of the diagonal length.

          Express the side length of a square as a function of the length d of the square's diagonal. Then express the area as a function of the diagonal length.

Express the side length of a square as a function of the length d of the square's diagonal. Then express the area as a function of the diagonal length.

Added by Brian B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Kaanan S

02/07/2022

Step 1

Step 1:** Using the Pythagorean theorem in a right-angled triangle, where the diagonal is the hypotenuse and the sides are the same length (since it's a square), we have: \(a^2 + a^2 = d^2\) \(2a^2 = d^2\) \(a^2 = \frac{d^2}{2}\) \(a = \frac{d}{\sqrt{2}}\) Show more…

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Express the side length of a square as a function of the length d of the square's diagonal. Then express the area as a function of the diagonal length.