Answer:
The length of the rectangle = 8 inches
Explanation:
The width of the rectangle, w = 15 inches
The diagonal, d = 17 inches
The length of the rectangle, l = ?
The diagram is drawn below
The diagonal of the rectangle forms a right triangle with the width and the length. Therefore, the length will be found using the Pythagora's theorem
[tex]\begin{gathered} d^2=w^2+l^2 \\ 17^2=15^2+l^2 \\ l^2=17^2-15^2 \\ l=\sqrt[]{17^2-15^2} \\ l=\sqrt[]{289-225} \\ l=\sqrt[]{64} \\ l=8 \end{gathered}[/tex]
The length of the rectangle = 8 inches
