Respuesta :
C
Use the formula of the Pythagorean theorem. a^2 + b^2 = c^2
a = 11.5
b = 18
11.5^2 + 18^2 = 456.25^2
Sqrt(456.25) to find c
c=21.36 in.
Use the formula of the Pythagorean theorem. a^2 + b^2 = c^2
a = 11.5
b = 18
11.5^2 + 18^2 = 456.25^2
Sqrt(456.25) to find c
c=21.36 in.
The dimensions of a rectangular piece of construction paper are 11.5 inches and 18 inches. Therefore, the length of the diagonal in inches is 21.36.
What is Pythagoras' Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
The dimensions of a rectangular piece of construction paper are 11.5 inches and 18 inches.
Maggie folded the piece of paper along its diagonal.
Use the formula of the Pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
We have
a = 11.5
b = 18
[tex]= 11.5^2 + 18^2\\ \\= 456.25^2[/tex]
[tex]c = \sqrt{(456.25)}\\\\c = 21.36[/tex]
Hence, the length of the diagonal in inches is 21.36.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
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