The length of a rectangular screen is 6 feet, and the width of the screen is 8 feet. What is the length of a diagonal of this screen in feet?

Respuesta :

Answer:

Length of diagonal = 10 feet

Step-by-step explanation:

Length of a rectangular screen = 6 feet

Width of the rectangular screen = 8 feet

Since, all interior angles of a rectangle are 90°,

Triangle formed with two adjacent sides and the diagonal will be a right triangle.

By applying Pythagoras theorem,

Hypotenuse² = (leg 1)² + (leg 2)²

(Diagonal)² = (leg 1)² + (leg 2)²

Diagonal = [tex]\sqrt{6^2+8^2}[/tex]

               = [tex]\sqrt{100}[/tex]

               = 10 feet

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