Questions: The other triangle has side lengths 18,7 , and 15. Compute the sum of the squares of the shorter lengths. 7^2 + 15^2 = 274 Compute the square of the longest length. 18^2 = 324 What kind of triangle is it? - Acute triangle - Right triangle - Obtuse triangle

The other triangle has side lengths 18,7 , and 15. Compute the sum of the squares of the shorter lengths. 7^2 + 15^2 = 274 Compute the square of the longest length. 18^2 = 324 What kind of triangle is it? - Acute triangle - Right triangle - Obtuse triangle
Transcript text: on Attempt: 1 of 1 (b) The other triangle has side lengths 18,7 , and 15. Compute the sum of the squares of the shorter lengths. \[ 7^{2}+15^{2}=274 \] Compute the square of the longest length. \[ 18^{2}=324 \] What kind of triangle is it? Acute triangle Right triangle Obtuse triangle 2025 McGrav Hill LLC. All Rights Reserved. Terms of Use I Privacy Center
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Solution

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Solution Steps

Step 1: Compute the sum of the squares of the shorter lengths

Calculate \( 7^{2} + 15^{2} \): \[ 7^{2} + 15^{2} = 49 + 225 = 274 \]

Step 2: Compute the square of the longest length

Calculate \( 18^{2} \): \[ 18^{2} = 324 \]

Step 3: Determine the type of triangle

Compare the sum of the squares of the shorter lengths (\( 274 \)) with the square of the longest length (\( 324 \)):

  • Since \( 274 < 324 \), the triangle is obtuse.

Final Answer

The triangle is obtuse.

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