The football field is 60 yards by 100 yards.Is the length of the diagonal across this field more or less than 200 yards?
less.
length=sqrt(60^2+100^2)
Use the Pythagorean theorem since the diagonal is the hypotenuse of a right triangle.
a^2 + b^2 = c^2
60^2 + 100^2 = c^2
Take it from there.
To find out if the length of the diagonal across the football field is more or less than 200 yards, we can use the Pythagorean theorem.
The Pythagorean theorem states that the square of the hypotenuse (the diagonal) of a right triangle is equal to the sum of the squares of the other two sides. In this case, the length and width of the field are the other two sides.
Let's calculate it step by step:
1. Calculate the square of the length: 60 yards * 60 yards = 3600 square yards.
2. Calculate the square of the width: 100 yards * 100 yards = 10000 square yards.
3. Add the squares of the length and width: 3600 + 10000 = 13600 square yards.
4. Calculate the square root of the result from step 3 to find the length of the diagonal: √13600 ≈ 116.60 yards.
Therefore, the length of the diagonal across this football field is approximately 116.60 yards, which is less than 200 yards.
To determine whether the length of the diagonal across the football field is more or less than 200 yards, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse (in this case, the diagonal) is equal to the sum of the squares of the other two sides.
In this case, the length and width of the football field form a right triangle, with the length being one side and the width being the other side. So, to calculate the length of the diagonal, we need to find the square root of the sum of the squares of the length and width.
Length of the football field: 60 yards
Width of the football field: 100 yards
Using the Pythagorean theorem:
Diagonal squared = Length squared + Width squared
Diagonal squared = 60^2 + 100^2
Diagonal squared = 3600 + 10000
Diagonal squared = 13600
Now, take the square root of both sides to find the length of the diagonal:
Diagonal = √13600
Diagonal ≈ 116.6 yards
Therefore, the length of the diagonal across the football field is less than 200 yards.