To find the length of the diagonal of the rectangular prism, segment BE, we can use the Pythagorean theorem.
Segment BE is the hypotenuse of a right triangle with sides BH and HE.
Using the Pythagorean theorem, we have:
BE^2 = BH^2 + HE^2
We already know that BH is 40 cm. To find HE, we can use the length and width of the prism.
HE is the height of the triangle, so HE = 44 cm.
Now we can substitute these values into the equation:
BE^2 = 40^2 + 44^2
BE^2 = 1600 + 1936
BE^2 = 3536
Taking the square root of both sides, we find:
BE ≈ √3536
BE ≈ 59.5 cm
Therefore, the length of the diagonal of the rectangular prism, segment BE, is approximately 59.5 cm.
The answer is O 59.5 cm.
The length of the prism is 32 cm, the width is 24 cm, the height is 44 cm, and the length of the diagonal of the base, segment BH, is 40 cm. Find the length of the diagonal of the rectangular prism, segment BE. Round the answer to the nearest tenth.
(1 point)
46.6 cm
O 54.4 cm
O 51.2 cm
O 59.5 cm
1 answer