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Home » How to Calculate Averages Like a Pro with AverageIF in Excel (Proof! - Treasure Valley Movers

How to Calculate Averages Like a Pro with AverageIF in Excel (Proof! - Treasure Valley Movers

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 Thus, the rate of volume increase at $ \theta = 60^\circ $ is $ \boxed{\frac{k\sqrt{3}}{2}} $.

📌 Question: A data analyst plots a triangle on a coordinate plane with side lengths corresponding to data intervals of 13 cm, 14 cm, and 15 cm. What is the length of the longest altitude of this triangle?

📌 Solution: The triangle has side lengths $ a = 13 $, $ b = 14 $, and $ c = 15 $. First, compute the semi-perimeter $ s $:

📌 The altitude corresponding to a side is $ h = \frac{2A}{\text{side}} $. The longest altitude corresponds to the shortest side, which is 13 cm:

📌 h_{\text{longest}} = \frac{2 \cdot 84}{13} = \frac{168}{13} \approx 12.92

📌 Thus, the length of the longest altitude is $ \boxed{\frac{168}{13}} $ cm.

📌 Question: An equilateral triangle has a perimeter of $ 36 $ cm. If each side is increased by $ 2 $ cm, by how many square centimeters does the area increase?

📌 Solution: The original side length of the equilateral triangle is $ \frac{36}{3} = 12 $ cm. The area of an equilateral triangle is given by:

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Question:** A right triangle has legs of length 8 cm and 15 cm. If the...
The original area of the triangle is:
A_{\text{original}} = \frac{1}{2} \times 8 \times 15 = 60 \text{ cm}^2
After increasing each leg by 2 cm, the new legs are 10 cm and 17 cm. T...
A_{\text{new}} = \frac{1}{2} \times 10 \times 17 = 85 \text{ cm}^2
- 60 = 25 \text{ cm}^2
Thus, the area increases by:
\boxed{25}
Question:** Find \(\sin 315^\circ\).
Since \(315^\circ = 360^\circ - 45^\circ\), we use the reference angle...

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