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Home » This Watkins Glen State Park Camping Spot Will Change Your Hiking Game Forever! - Tacotoon

This Watkins Glen State Park Camping Spot Will Change Your Hiking Game Forever! - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 To rationalize the denominator, multiply the numerator and denominator by \(\sqrt{3}\):

📌 \frac{\sqrt{3} + 1}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{3}(\sqrt{3} + 1)}{3} = \frac{3 + \sqrt{3}}{3}

📌 \boxed{\frac{3 + \sqrt{3}}{3}}

📌 Question:** In a triangle with side lengths 7, 24, and 25 units, find the length of the shortest altitude.

📌 The triangle with sides 7, 24, and 25 is a right triangle because \(7^2 + 24^2 = 49 + 576 = 625 = 25^2\).

📌 The area \(A\) of the triangle can be calculated using the two shorter sides, 7 and 24, as the base and height:

📌 A = \frac{1}{2} \times 7 \times 24 = 84

📌 The altitude corresponding to the hypotenuse (side of length 25) is the shortest because the height is smallest when based on the longest side. Let \(h\) be the altitude to the hypotenuse. The area can also be written as:

🔥 Popular Posts

7d = 1680 \\
d = \frac{1680}{7} = 240
The distance between City A and City B is 240 km.
#### 240 km
A rectangle's length is twice its width. If the perimeter is 48 cm, wh...
Let the width be \( w \). Then the length is \( 2w \). The perimeter \...
P = 2(\text{length} + \text{width}) = 2(2w + w) = 48
Simplifying:
6w = 48 \\
w = \frac{48}{6} = 8

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