Question

darnel takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. if the piece of paper is 24 centimeters long and 10 centimeters wide, how long is the diagonal cut that darnel made? centimeters

Explanation:

Step1: Apply the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 10\), \(b = 24\), and \(c\) is the diagonal.
So, \(10^{2}+24^{2}=c^{2}\).

Step2: Calculate \(10^{2}\) and \(24^{2}\)

\(10^{2}=100\), \(24^{2}=576\).
Then \(100 + 576=c^{2}\), which is \(c^{2}=676\).

Step3: Find \(c\)

Take the square root of \(676\), \(c=\sqrt{676}\).
Since \(\sqrt{676} = 26\).

Answer:

26