Equivalent expression for the missing side length of a rectangle is [tex]\sqrt{60} x[/tex]
The missing side length when x =3 is 23.2 inch
Rectangle :
In a rectangle , opposite sides are equal . The vertex of rectangle is right angle . The diagonal of rectangle forms a right angle triangle.
Given the width of the triangle is 2x. The diagonal of triangle is 8x inches
Let 'L' be the length of the rectangle
To find out the expression for the length of the triangle use pythagorean theorem
hypotenuse ^2=length ^2 + width ^2
[tex](8x)^2=L^2+(2x)^2\\64x^2+4x^2+L^2\\64x^2-4x^2=L^2\\60x^2=L^2\\L =\sqrt{60x^2}\\ L=\sqrt{60}x[/tex]
An equivalent expression for the missing side length of a rectangle
[tex]\sqrt{60} x[/tex]
find the missing side length when x=3
Substitute 3 for x
[tex]L= \sqrt{60} x\\L =\sqrt{60}(3)\\L= 23.2 inch[/tex]
Equivalent expression for the missing side length of a rectangle is [tex]\sqrt{60} x[/tex]
The missing side length when x =3 is 23.2 inch
Learn more information about 'Rectangle ' here
brainly.com/question/23008020
