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3 years ago

I need help with this question. I need to find the perimeter of the hexagon RSTUVW.

Mathematics

1 answer:

Elina [12.6K]3 years ago

7 0

9514 1404 393

Answer:

47.71

Step-by-step explanation:

Two "special" triangles are involved.

ΔSWR is a 30°-60°-90° right triangle, so will have sides in the ratio 1 : √3 : 2.

ΔUVW is a 45°-45°-90° right triangle so will have sides in the ratio 1 : 1 : √2.

For ΔSWR, the side SW is given as 6, so the other sides are ...

WR = 6√3

RS = 2(6) = 12

For ΔUVW, the side WU is given as 8, so the other sides are ...

UV = VW = 8/√2 = 4√2

Then the perimeter of the figure is ...

P = RS +ST +TU +UV +VW +WR

P = 12 +8 +6 +4√2 +4√2 +6√3 ≈ 47.71

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I need help with this question. I need to find the perimeter of the hexagon RSTUVW.​

I need help with this question. I need to find the perimeter of the hexagon RSTUVW.