If a room is 13 feet wide and 18 feet long, how many feet is it from one corner to the opposite corner? Round to one decimal place.
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To find the distance from one corner to the opposite corner of a rectangle, you can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the rectangle forms a right triangle, with the width and length of the room as the two sides. So we can use the Pythagorean theorem to find the diagonal distance.
Let's call the width of the room "a" and the length of the room "b". In this case, a = 13 feet and b = 18 feet.
Using the Pythagorean theorem:
c^2 = a^2 + b^2
Substituting the given values:
c^2 = 13^2 + 18^2
Simplifying:
c^2 = 169 + 324
c^2 = 493
To find c, we can take the square root of both sides:
c = √(493)
Calculating the square root, we get:
c ≈ 22.2
Therefore, the distance from one corner to the opposite corner of the room is approximately 22.2 feet.