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📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 Thus, the length of the hypotenuse is \(\boxed{15}\) and the area is \(\boxed{54}\).

📌 Create a visualization of a triangle with sides 8 cm, 15 cm, and 17 cm, and compute the circumradius of the triangle.

📌 The triangle with sides 8, 15, and 17 is a right triangle (since \(8^2 + 15^2 = 17^2\)). The circumradius \(R\) of a right triangle is given by:

📌 R = \frac{c}{2}

📌 where \(c\) is the hypotenuse. Here, \(c = 17\), so:

📌 R = \frac{17}{2} = 8.5

📌 Thus, the circumradius of the triangle is \(\boxed{8.5}\).

📌 An equilateral triangle has a side length of 10 cm. If each side is increased by 2 cm, by how many square centimeters does the area increase?

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