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Home » New concentration: \(\frac150500 + x = 20\%\) - Decision Point

New concentration: \(\frac150500 + x = 20\%\) - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 P_{\text{new}} = 6 \times (r + 2) = 6 \times (10 + 2) = 72 \text{ cm}

📌 The new perimeter of the hexagon is \(\boxed{72 \text{ cm}}\).

📌 An isosceles triangle has side lengths of \(13\) cm, \(13\) cm, and \(10\) cm. Find the length of the altitude to the base of \(10\) cm.

📌 Consider the isosceles triangle with two equal sides of length \(13\) cm and base \(10\) cm. The altitude from the apex (opposite the base) bisects the base into two segments of \(5\) cm each. Let \(h\) be the altitude. Using the Pythagorean Theorem in one of the right triangles formed:

📌 h^2 + 5^2 = 13^2

📌 h^2 + 25 = 169

📌 h^2 = 169 - 25 = 144

📌 h = \sqrt{144} = 12

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