Asked by QuestionHelper123
The hypotenuse is the shortest side of a right triangle.(2 points)
True - The hypotenuse is the shortest side opposite the right angle.
False - The hypotenuse is the longest side opposite the right angle.
True - The hypotenuse varies in length because legs of a right triangle are normally the same.
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Answer: False — The hypotenuse is the longest side opposite the right angle.
Explanation: For a right triangle with legs a and b and hypotenuse c, the Pythagorean theorem gives c^2 = a^2 + b^2, so c = sqrt(a^2 + b^2) and therefore c > a and c > b (for positive a, b). The first and third choices are incorrect.
Explanation: For a right triangle with legs a and b and hypotenuse c, the Pythagorean theorem gives c^2 = a^2 + b^2, so c = sqrt(a^2 + b^2) and therefore c > a and c > b (for positive a, b). The first and third choices are incorrect.
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