Question

mollys bedroom is rectangular. the length of one wall of mollys bedroom is 8 feet. the length from one corner of the bedroom to the diagonally opposite corner is 17 feet. what is the length of the other wall? feet

Explanation:

Step1: Apply Pythagorean theorem

Let the length of the other wall be \(x\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 8\), \(c=17\), and \(b=x\). So \(8^{2}+x^{2}=17^{2}\).

Step2: Simplify the equation

\(64 + x^{2}=289\). Then \(x^{2}=289 - 64\).

Step3: Calculate \(x^{2}\)

\(x^{2}=225\).

Step4: Solve for \(x\)

Take the square root of both sides. Since length cannot be negative, \(x=\sqrt{225}=15\).

Answer:

15