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classifying a triangle on the packaging for a triangular sail, the edge…

obtuse

Category: geometry Updated: 2026-02-09

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.

Solution Steps

  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

Answer

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.

Answer

obtuse

Question Image

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Question Analysis

Subject mathematics
Sub Subject geometry
Education Level high school
Difficulty unspecified
Question Type calculation
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-09T20:24:11

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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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