Question

Rectangle ABCD is shown. What is the length of diagonal BD? Round to the nearest tenth if needed

Answer 1

THe diagonal, BD divides the rectangle into two right angle triangles.

BD represents the hypotenuse

BC represents the opposite side

DC represents the adjacent side

We would determine BD by applying the pythagorean theorem which is expressed as

`\begin{gathered} \text{hypotenuse}^2=oppositeside^2+adjacentside^2 \\ BD^2=7^2+12^2=49\text{ + 144 = 193} \\ BD\text{ = }\sqrt[]{193} \\ BD\text{ = 13.9 } \end{gathered}`

The length of the diagonal, BD is 13.9m to the nearest tenth