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 my = 40 F the length of the diagonal of the rectangular prism segment BE Round the answer to the nearest tenth

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1 answer

To find the length of the diagonal of the rectangular prism segment BE, we can use the Pythagorean theorem.

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, segment BE is the hypotenuse of a right triangle with sides of lengths 24 cm and 44 cm (the width and height of the prism).

Let's call the length of segment BE "d." Using the Pythagorean theorem, we can write:

d^2 = 24^2 + 44^2

Simplifying:

d^2 = 576 + 1936
d^2 = 2512

Taking the square root of both sides to solve for d:

d ≈ √2512
d ≈ 50.1

Therefore, the length of the diagonal of the rectangular prism segment BE is approximately 50.1 cm.