You cut a sheet of paper along its diagonal, as shown. What is the length of the diagonal? Round your answer to the nearest tenth.
10 in.
11 in.
What is the length of the diagonal of a sheet of paper cut along its diagonal?
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To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem. The formula is:
[ d = sqrt{a^2 + b^2} ]
where (d) is the diagonal length, and (a) and (b) are the lengths of the sides of the rectangle.
In this case, you have the sides measuring 10 inches and 11 inches.
1. First, square each side:
– (10^2 = 100)
– (11^2 = 121)
2. Next, add those squares:
– (100 + 121 = 221)
3. Finally, take the square root of that sum to find the diagonal:
– (d = sqrt{221} approx 14.8)
So, the length of the diagonal is approximately 14.8 inches when rounded to the nearest tenth.