E

D

F

diagonal

G

height

H

O

length

C

width

B

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 BR is 40 cm F the length of the diagonal of the rectangular prism segment BE Round the answer to the nearest tenth

(1 point)

59.5 cm

0466xm

1 answer

The length of the diagonal of the rectangular prism segment BE can be found by using the Pythagorean theorem.

We know that the length BR is 40 cm, the width BC is 24 cm, and the height BO is 44 cm.

Using the Pythagorean theorem, we can find the length of the diagonal BE:

BE^2 = BR^2 + BC^2 + BO^2

BE^2 = 40^2 + 24^2 + 44^2

BE^2 = 1600 + 576 + 1936

BE^2 = 4112

BE ≈ √4112

BE ≈ 64.1 cm

Therefore, the length of the diagonal of the rectangular prism segment BE is approximately 64.1 cm.
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