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PolarNik [594]
4 years ago
13

What construction does the below image demonstrate? (Ignore point clicked).

Mathematics
2 answers:
topjm [15]4 years ago
7 0
Hey yes I will be glad to help you solve her math problem but quick question what math do you take ? I take integrated two
ioda4 years ago
6 0

Answer:

Second option.

Step-by-step explanation:

The first option is not correct because the circumference would then be inside the triangle.

The third option is not correct because the circumcenter doen't need two circumferences.

The fourth opction is not correct because the incenter need the middle poitn of each side and in the image there is only one.

Then, the correct opction is two, An equilateral triangle inscribed in a circle.

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\huge\underline{\frak{  \:  \:  \:  \:  \:  \: Solution : \:  \:  \:  \:  \:  \: }} \\  \\

\frak {\pink{Let}}\begin{cases} \sf{\red{Breadth \:  be  \: x}}\\ \sf{\orange{The \:  Length = x + 9}}\end{cases} \\

\bigstar \: \underline{\textsf{According to the given Question :} }\\  \\

:\implies \sf Area = Length \times Breadth \\  \\  \\

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:\implies \sf (x + 24) \: (x - 15) = 0\\  \\  \\

:\implies \underline{ \boxed{ \sf  x =  - 24 \: or \: x = 15}}\\  \\  \\

\therefore\:\underline{\textsf{Ignoring the negative value, the Breadth of rectangular garden is \textbf{15 ft}}}. \\  \\  \\

<h2>_____________________...</h2>

\bigstar \: \underline{\textsf{Dimensions of rectangular garden :}} \\  \\

\bullet\:\:\textsf{The Breadth of rectangular garden = x = \textbf{15 ft.}} \\  \\

\bullet\:\:\textsf{The Length of rectangular garden = x + 9 = 15 + 9 = \textbf{24 ft.}} \\  \\

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