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canopy by hilton portland waterfront - RTA

📅 May 10, 2026 👤 scraface

May 10, 2026

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📌 where \(h\) is the height from the vertex to the base. Using the Pythagorean theorem in one of the right triangles formed by the height:

📌 h = \sqrt{10^2 - \left(\frac{b}{2}\right)^2} = \sqrt{100 - \frac{b^2}{4}}

📌 Substituting into the area equation:

📌 \frac{1}{2} \times b \times \sqrt{100 - \frac{b^2}{4}} = 48

📌 Solving for \(b\) involves trial or algebraic manipulation, but instead, let's consider the changes. The new base is \(b + 4\). The new height \(h'\) is:

📌 h' = \sqrt{100 - \frac{(b+4)^2}{4}}

📌 \frac{1}{2} \times (b + 4) \times h'

📌 \frac{1}{2} \times (b + 4) \times h' - 48

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