marcey2k16
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To make a rectangular table more stable, a diagonal brace is attached to the underside of the table surface. If the table is 35 dm by 84 ​dm, how long is the​ brace?

The length of the brace is ___ dm.

Respuesta :

if we draw a rectangle

                       35 dm
           -------------------------
           | -                            |
           |      -                       |
           |           -                  |  84 dm
           |                -             |
           |                    -         |
           |                        -     |
           |                            - |
            -------------------------

that diagonal (from one opposite corner to the other) forms two identical right traingles. the hypotenuse is the length of diagonal.
the legs are 35 dm and 84 dm.

by pythagorean theorem:

diagonal² = 35² + 84²
diagonal   = √(35² + 84²)
diagonal   = 91 dm
snehashish65

The length of the diagonal brace attached to the table is 91 dm.

What is diagonal of rectangle?

The diagonal of a rectangle is a line segment that connects any two of its non-adjacent vertices:

Calculation:

The length of the rectangular table is 35 dm.

The breadth of the rectangular table is 84 dm.

Diagonal = [tex]\sqrt{l^{2}+w^{2} }[/tex]

Diagonal   = [tex]\sqrt{35^{2}+84^{2} }[/tex]

Diagonal = [tex]\sqrt{1225+7056}[/tex]

Diagonal =  [tex]\sqrt{8281}[/tex]

Diagonal   = 91 dm

Here, we can say that the length of the diagonal brace is 91 dm.

To know more about diagonal click on the link below:

https://brainly.com/question/14735698

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