classifying a triangle on the packaging for a triangular sail, the edge…
obtuse
Aufgabe
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.
Lösungsschritte
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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. -
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. -
Final answer
obtuse
Antwort
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
Click to enlargeQuestion 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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