![\"A](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/896\/2016\/10\/24203627\/CNX_CAT_Figure_01_03_001.jpg\")
Figure 1<\/b>[\/caption]\r\n Figure 1<\/b>[\/caption]\r\n[latex]\\begin{align} {a}^{2}+{b}^{2}& = {c}^{2} \\\\ {5}^{2}+{12}^{2}& = {c}^{2} \\\\ 169& = {c}^{2} \\end{align}[\/latex]<\/p>\r\nNow we need to find out the length that, when squared, is 169, to determine which ladder to choose. In other word we need to find a square root. In this section we will investigate methods of finding solutions to problems such as this one.","rendered":"
A hardware store sells 16-ft ladders and 24-ft ladders. A window is located 12 feet above the ground. A ladder needs to be purchased that will reach the window from a point on the ground 5 feet from the building. To find out the length of ladder needed, we can draw a right triangle as shown in Figure 1, and use the Pythagorean Theorem.<\/p>\n
<\/p>\nFigure 1<\/b><\/p>\n<\/div>\n
[latex]\\begin{align} {a}^{2}+{b}^{2}& = {c}^{2} \\\\ {5}^{2}+{12}^{2}& = {c}^{2} \\\\ 169& = {c}^{2} \\end{align}[\/latex]<\/p>\n
Now we need to find out the length that, when squared, is 169, to determine which ladder to choose. In other word we need to find a square root. In this section we will investigate methods of finding solutions to problems such as this one.<\/p>\n\n\t\t\t Candela Citations<\/h3>\n\t\t\t\t\t
\n\t\t\t\t\t\t \n\t\t\t\t\t\t\t CC licensed content, Original<\/div>CC licensed content, Shared previously<\/div>CC licensed content, Specific attribution<\/div>