Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

A rectangular book measures 8 X 10. What is the length of its
diagonal?

Sagot :

Answer:

Length of the diagonals is

[tex] \sqrt{ {8}^{2} +{10}^{2} } = \sqrt{64 + 100} = \sqrt{164} =2\sqrt{41}\\ =\boxed{12.8\: units} [/tex]

12.8 units is the right answer.

The diagonal length of the rectangular book is 12.8 units.

What is rectangular?

A rectangle is "four sided polygon, having all the internal angles  is equal to 90 degree. The two sides of each corner is right angles".

According to the question,

The length of rectangle is 8 units and the breadth of rectangle is 10 cm.

To find diagonal of the rectangle: Using Pythagoras theorem a² + b² = c².

c = [tex]\sqrt{a^2 + b^2}[/tex]

  = [tex]\sqrt{8^2 + 10^2}[/tex]

  = [tex]\sqrt{64 + 100}[/tex]

  = [tex]\sqrt{164}[/tex]

  = 2[tex]\sqrt{41}[/tex]

  = 12.8 units

Hence, the diagonal length of the rectangular book is 12.8 units.

Learn more about rectangle here

https://brainly.com/question/17043608

#SPJ2