Question

a piece of paper that savanna 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? 13.6 in 14.3 in 12.4 in 7.5 in

Explanation:

Step1: Apply the 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.
Substitute the values: \(8^{2}+11^{2}=c^{2}\).
Calculate \(8^{2}=64\) and \(11^{2}=121\).
So, \(64 + 121=c^{2}\), which simplifies to \(c^{2}=185\).

Step2: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{185}\).
\(\sqrt{185}\approx13.6\) (using a calculator).

Answer:

13.6 in