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statuscvo [17]
3 years ago
9

What is the area of the regular octagon below with a side of 8 in.? Round to the nearest tenth. 443.4 in^2 618.0 in^2 221.7 in^2

309.0 in^2
Mathematics
1 answer:
Lunna [17]3 years ago
6 0
<span>309.00 is your answer hope this helps</span>
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Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.
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Step-by-step explanation:

\triangle HFM \sim \triangle PST... (Given) \\\\\therefore   \frac{HF}{PS}  =  \frac{FM}{ST}  =  \frac{HM}{PT}...(csst) \\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{45}{9}\\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{5}{1} \\  \\ \therefore  \frac{30}{PS}  =  \frac{5}{1} \\  \\ \therefore PS =  \frac{30}{5} \\  \\\boxed{ \therefore PS =  6 }\\  \\  \because \: \frac{35}{ST}  =  \frac{5}{1} \\  \\  \therefore \: ST = \frac{35}{5}  \\  \\    \boxed{\therefore \: ST = 7} \\  \\ perimeter \: of \: \triangle PST  \\ = 9 + 7 + 6 \\  = 22 \: units

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