Answer:
13.90 inches
Step-by-step explanation:
The sides of rectangle are 8.5 and 11 inches.
According to question diagonal needs to calculated.
The diagonal , and two sides of rectangle will forma a right angled triangle.
Right angle as it constitute a right angle of rectangle as well.
To understand more
construct a rectangle ABCD
then one of its diagonal will be AC if we take triangle ABC.
angle ABC will be right angled at B.
for triangle ABC . diagonal AC will be hypotenuse
So diagonal can be computed using Pythagoras theorem
which states that if a and b are two sides of right angled triangle containing the right angle then hypotenuse is given by [tex]\sqrt{a^2+b^2}[/tex].
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In the problem
two sides are of length 8.5 and 11 inches
So, diagonal is hypotenuse which can be calculated by [tex]\sqrt{8.5^2+11^2}\\=>\sqrt{72.25+121}\\=>\sqrt{193.25}\\=>13.90[/tex]
thus length of diagonal is 13.90 inches.
