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question
the sides of a triangle are 26, 10, and 24. use the pythagorean theorem to determine if the triangle is right,
acute, or obtuse.
answer attempt 1 out of 2
the triangle is __ because the square of the largest side __ the sum of the
squares of the other two sides.
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Step1: Identify largest side, square it
Largest side = 26, so $26^2 = 676$
Step2: Sum squares of other sides
Other sides: 10, 24. Calculate $10^2 + 24^2 = 100 + 576 = 676$
Step3: Compare values
$26^2 = 10^2 + 24^2$
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The triangle is right because the square of the largest side equals the sum of the squares of the other two sides.