Answer:
Approximately 6.8m
Step-by-step explanation:
We can picture this problem by drawing a rectangular prism with a width of 5m, a depth of 3m, and a height of 3.5m. To find the length from one corner of the floor to the opposite corner of the floor, we can use the pythagorean theorem and plug in the width and depth of the room for a and b:
And now we can solve for c...
c = 5.831m
Now that we have the length from corner to corner across the floor, we can use the pythagorean theorem again, this time using the length from corner to corner across the floor we just derived and the height of the room:
And now we can solve for c again...
c = 6.8m
Answer:
17.13 cm.
Step-by-step explanation:
In the given scenario, we have a cylinder cup with points A, B, and C, and a straw AD that passes through points A and C. The measurements are as follows:
AB = 5 cm
BC = 12 cm
CD = 2 cm
We can use the Pythagorean theorem to find the length of the straw AD. The Pythagorean theorem states that in a right triangle, the square 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, AD is the hypotenuse, and AC and CD are the other two sides. We can write the Pythagorean theorem equation as:
AD^2 = AC^2 + CD^2
Given that AC is the sum of AB and BC:
AC = AB + BC
AC = 5 cm + 12 cm
AC = 17 cm
Now we can substitute the values into the Pythagorean theorem equation:
AD^2 = 17^2 + 2^2
AD^2 = 289 + 4
AD^2 = 293
Taking the square root of both sides to solve for AD:
AD = √293
AD ≈ 17.13 cm
So, the length of the straw AD is approximately 17.13 cm.
Answer:
17.13 cm.
Step-by-step explanation: