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題目

解題步驟

1. Understand the question

   classifying a triangle
   on the packaging for a triangular sail, the edge measurements for the sail are listed as 7 ft × 15 ft × 17 ft. without unfurling the sail, you want to determine if the sail forms a right triangle, an acute triangle, or an obtuse triangle.
   using the tools from this lesson, you determine that the general shape of the sail is a(n) ______ triangle.

2. Explanation

   Step1: Identify sides, square longest

   Square the longest side: $17^2 = 289$

   Step2: Sum squares of other sides

   Calculate sum of squares of shorter sides: $7^2 + 15^2 = 49 + 225 = 274$

   Step3: Compare the two values

   Compare $289$ and $274$: $17^2 > 7^2 + 15^2$
   When the square of the longest side is greater than the sum of the squares of the other two sides, the triangle is obtuse.

3. Final answer

   obtuse

答案

Question Analysis

OCR Text

classifying a triangle
on the packaging for a triangular sail, the edge measurements for the sail are listed as 7 ft × 15 ft × 17 ft. without unfurling the sail, you want to determine if the sail forms a right triangle, an acute triangle, or an obtuse triangle.
using the tools from this lesson, you determine that the general shape of the sail is a(n) ______ triangle.

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