Question

the length of a rectangle is 6 units and its width is 4 units what is the approximate length of the diagonal of the rectangle ​

Answer 1

7.2 units

Explanation:

The diagonal of the rectangle and the length and the width of the rectangle form right triangle in which diagonal is the hypotenyse.

By the Pythagorean theorem,

`\text{Hypotenuse}^2=\text{Leg}_1^2+\text{Leg}^2_2`

for this right triangle you get

`\text{Diagonale}^2=\text{Length}_1^2+\text{Width}^2_2`

Since

`\text{Length}=6\ units\\ \\\text{Width}=4\ units,`

then

`\text{Diagonale}^2=6^2+4^2\\ \\\text{Diagonale}^2=36+16\\ \\\text{Diagonale}^2=52\\ \\\text{Diagonal}=√(52)=2√(13)\approx 7.2\ units`