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Home » The decay can be modeled by the formula: - Tacotoon

The decay can be modeled by the formula: - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A right triangle has legs of length 9 cm and 12 cm. What is the length of the altitude to the hypotenuse?

📌 Hypotenuse: \( \sqrt{9^2 + 12^2} = \sqrt{81 + 144} = \sqrt{225} = 15 \) cm.

📌 Area using legs: \( \frac{1}{2} \times 9 \times 12 = 54 \) square cm.

📌 Area using hypotenuse and altitude: \( \frac{1}{2} \times 15 \times h = 54 \).

📌 So \( 15h = 108 \), \( h = 7.2 \) cm.

📌 A ladder 13 feet long leans against a wall, with its base 5 feet from the wall. How high up the wall does the ladder reach?

📌 Using the Pythagorean theorem: \( h^2 + 5^2 = 13^2 \).

📌 \( h^2 + 25 = 169 \), so \( h^2 = 144 \), \( h = 12 \) feet.

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