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hram777 [196]
2 years ago
11

Find the value of x in the equilateral triangle. Х 3 in

Mathematics
1 answer:
swat322 years ago
6 0

Answer:

x≈3.35, or the square root of 11.

Step-by-step explanation:

Use the pythagorian therom. 3²+1.5²=x²

(Half of 3 is 1.5 and the line splits it in half)

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\begin{gathered} A=2\cdot l\cdot w+2\cdot l\cdot h+2\cdot w\cdot h \\  \\ \text{ We replacing:} \\  \\ A=2(13)(11)+2(13)(11)+2(11)(11) \\  \\ A=286+286+242 \\  \\ A=814\text{ in}^2 \\  \\ \text{ Convert inches to feet, knowing that 1 foot is equal to 12 inches} \\  \\ A=814\text{ in}^2\cdot\frac{(1\text{ ft\rparen}^2}{(12\text{ in\rparen}^2} \\  \\ A=5.65\text{ ft}^2 \end{gathered}

Therefore, the correct answer is 5.65 ft²

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