A smmall rectangular tray measures 16 cm by 18 cm determine the length of the diagonal . round you're answer to the nearest tenth.m

Question

asked Apr 25, 2023 183k views

1 Answer

Dylan Bozarth · Answer 1 · 2023-05-01T07:18:22+0000

Given the dimension of the rectangle:

16 cm by 18 cm

We have the image of the rectangle below:

To find the length of the diagonal AC, use pythagorean theorem since ACD form a right triangle.

Thus, we have:

$\begin{gathered} AC^2=AD^2+DC^2 \\ \\ AC=\sqrt[]{AD^2+DC^2} \end{gathered}$

Input values into the formula:

$\begin{gathered} AC=\sqrt[]{18^2+16^2} \\ \\ AC=\sqrt[]{324+256} \\ \\ AC=\sqrt[]{580} \\ \\ AC=24.08\approx24.1\text{ cm} \end{gathered}$

Therefore, the length of the diagonal is 24.1 cm

ANSWER:

24.1 cm