Respuesta :
Answer:
The length of the diagonal is:
20.3147
Step-by-step explanation:
We know that if we draw a diagonal in a rectangle such that the length and width of a rectangle are a and b then the length of the diagonal act as a hypotenuse of a right angled triangle with two sides of triangle as a and b.
Hence, we will use the Pythagorean Theorem to find the length of the hypotenuse (c) as follows:
[tex]c^2=a^2+b^2[/tex]
[tex]c^2=(15)^2+(13.7)^2\\\\c^2=225+187.69\\\\c^2=412.69\\\\c=\pm \sqrt{412.69}\\\\c=\pm 20.3147[/tex]
Since, length can't be negative.
Hence, we have:
[tex]c=20.3147[/tex]
