Measure and record the length of your box below.
(100 points)
a=12
Question 2
Measure and record the width of your box.(100 points)
b =13
Question 3
Now calculate the bottom diagonal length for your box. Round to the nearest hundredth if needed.(100 points)
c=18
feet find the bottum diagalal
The bottom diagonal length of the box is 18 feet.
can you show the work
Certainly!
To find the bottom diagonal length of the box, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the bottom diagonal forms the hypotenuse of a right triangle, with the length and width of the box as the other two sides. So, we can use the equation:
c^2 = a^2 + b^2
where:
- c is the length of the bottom diagonal
- a is the length of the box
- b is the width of the box
Plugging in the values:
c^2 = 12^2 + 13^2
c^2 = 144 + 169
c^2 = 313
To find c, we take the square root of both sides:
√c^2 = √313
c = √313
Rounding to the nearest hundredth, c ≈ 17.68
Therefore, the bottom diagonal length of the box is approximately 17.68 units.
To find the bottom diagonal length of your box, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the bottom diagonal of the box forms the hypotenuse of a right triangle, with the length and width of the box as the other two sides.
So, to find the length of the bottom diagonal (c), you can use the formula:
c = √(a^2 + b^2)
Here, a is the length of the box (12) and b is the width of the box (13).
Substituting these values into the formula:
c = √(12^2 + 13^2)
c = √(144 + 169)
c = √313
c ≈ 17.68 (rounded to the nearest hundredth)
Therefore, the bottom diagonal length of your box is approximately 17.68 feet.