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Select the correct answer.
A triangular tabletop has the given dimensions. Vinyl is placed around the outer edges of the tabletop.
3 ft
45°
45°
What is the approximate length of vinyl needed for the outer edges of the tabletop?
OA.
OB.
OC.
O D.
10.2 ft
14.2 ft
9 ft
11.2 ft

Respuesta :

facundo3141592

The length of the vinyl must be 10.2ft

How to get the length of the vinyl?

We know that two of the angles of the triangle measure 45°, then we have a right triangle of 45°, 45°, 90°.

We know that the catheti measure 3 ft, using the pithagorean theorem, we know that the length of the hypotenuse is given by:

[tex]H^2 = (3ft)^2 + (3ft)^2[/tex]

[tex]H = \sqrt{2*(3ft)^2} = 4.2ft[/tex]

Then the perimeter of the triangle is:

P = 3ft + 3ft + 4.2ft = 10.2ft

The length of the vinyl must be 10.2ft

If you want to learn more about triangles:

https://brainly.com/question/2217700

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