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Home » \[ 15 \, \textcm \times 1.20 = 18 \, \textcm/month \] - Redraw

\[ 15 \, \textcm \times 1.20 = 18 \, \textcm/month \] - Redraw

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 Solution: To find the shortest altitude, we first note that the shortest altitude corresponds to the longest side, which is 15 cm. We begin by computing the area of the triangle using Herons formula. The semi-perimeter is:

📌 Let $ h $ be the altitude to the side of length 15 cm:

📌 Solution: Let the side length of the original equilateral triangle be $ s $. The area of an equilateral triangle is:

📌 Solution: Let the triangle have legs $ a $, $ b $, and hypotenuse $ c = 25 $. The inradius $ r = 5 $. In a right triangle, the inradius is given by:

📌 Solution: Let the triangle be isosceles with sides $ a = 10 $, $ b = 10 $, $ c = 12 $. The semi-perimeter is:

📌 Question: An entrepreneurs sustainable agriculture project uses a rectangular field with length $ (2a + 3) $ meters and width $ (a - 1) $ meters. Expand the product to find the area.

📌 Solution: To find the overall average word length, we compute the weighted average based on the number of words in each manuscript.

📌 Let the first manuscript have 120 words with an average length of 4.3 characters, and the second have 180 words with an average length of 5.7 characters.

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