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Which statement about a right triangle is true?
The length of each leg equals 1/2 of the hypotenuse.
The square of the hypotenuse is equal to the sum of the squares of the legs.
One leg is always longer than the hypotenuse.
A right triangle can have only one obtuse angle.
The correct statement about a right triangle is: The square of the hypotenuse is equal to the sum of the squares of the legs.
This is known as the Pythagorean theorem, which states that in a right triangle (where one angle is 90 degrees), the length of the hypotenuse (the side opposite the right angle) squared is equal to the sum of the lengths of the other two sides (the legs) squared. In mathematical terms, if ( a ) and ( b ) are the lengths of the legs and ( c ) is the length of the hypotenuse, the relationship can be expressed as:
[ c^2 = a^2 + b^2 ]
The other statements are false. For instance, one leg can never be longer than the hypotenuse, and a right triangle cannot have an obtuse angle. If you have more questions or need further clarification, feel free to ask!