Question

a piece of paper that brittany has is 11 inches tall and 8 inches wide. she draws a straight line diagonally across the paper. how long is the line she drew?

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 8\) (width of the paper), \(b=11\) (height of the paper), and \(c\) is the length of the diagonal line.
Substitute \(a = 8\) and \(b = 11\) into the formula: \(8^{2}+11^{2}=c^{2}\).
Calculate \(8^{2}=64\) and \(11^{2}=121\). Then \(64 + 121=c^{2}\), so \(c^{2}=185\).

Step2: Solve for \(c\)

Take the square root of \(185\), \(c=\sqrt{185}\approx13.6\) (rounded to one decimal place).

Answer:

\(13.6\) in