Asked by herm
The sides of a triangle are 15, 20, and 13. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
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GPT-5 mini
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Order the sides so c is the longest: c = 20, a = 15, b = 13.
Compute squares: c^2 = 20^2 = 400, a^2 + b^2 = 15^2 + 13^2 = 225 + 169 = 394.
Since c^2 > a^2 + b^2, the triangle is obtuse (the angle opposite the 20 side is greater than 90°).
Compute squares: c^2 = 20^2 = 400, a^2 + b^2 = 15^2 + 13^2 = 225 + 169 = 394.
Since c^2 > a^2 + b^2, the triangle is obtuse (the angle opposite the 20 side is greater than 90°).
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