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Home » You Won’t Believe What Happens When You Switch to the New Switch EShop—Swipe to Discover! - DNSFLEX

You Won’t Believe What Happens When You Switch to the New Switch EShop—Swipe to Discover! - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 Question:** The sides of a triangle are 9, 40, and 41 units. Find the length of the shortest altitude.

📌 First, verify the triangle is right-angled:

📌 9^2 + 40^2 = 81 + 1600 = 1681 = 41^2

📌 So it is a right triangle with legs 9 and 40, hypotenuse 41. The area is:

📌 A = \frac{1}{2} \times 9 \times 40 = 180 \text{ units}^2

📌 The altitudes corresponding to each side are:

📌 To side 9: \(h_9 = \frac{2A}{9} = \frac{360}{9} = 40\)

📌 To side 40: \(h_{40} = \frac{2A}{40} = \frac{360}{40} = 9\)

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eq 0 \]
\[ (-1)^3 - 4(-1)^2 + (-1) + 6 = -1 - 4 - 1 + 6 = 0 \]
Thus, \( x = -1 \) is a root.
We perform synthetic division of \( x^3 - 4x^2 + x + 6 \) by \( x + 1...
egin{array}{r|rrrr}
& 1 & -4 & 1 & 6 \
& & -1 & 5 & -6 \
\hline
& 1 & -5 & 6 & 0 \
\end{array}

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