Answer:
Length of a diagonal = 5 inches
Explanation:
Let [tex]a[/tex] and [tex]b[/tex] the sides of the rectangle and [tex]c[/tex] be the diagonal of the rectangle.
According to the Pythagorean theorem, sum of squares of base and perpendicular is equal to the square of hypotenuse.
As each angle of the rectangle is a right angle,
[tex]a^2+b^2=c^2[/tex]
Put [tex]a=4\,,\,b=3[/tex]
[tex]4^2+3^2=c^2\\16+9=c^2\\25=c^2\\\sqrt{25}=c\\ 5=c[/tex]
So,
Length of a diagonal = 5 inches
