Suppose the altitude to the hypotenuse of a right triangle bisects the hypotenuse. How does the length of the altitude compare with the lengths of the segments of the hypotenuse?
a. the length of the altitude is equal to twice the length of one of the segments of the hypotenuse
b. the length of the altitude is equal to half the length of one of the segments of the hypotenuse
c. the length of the altitude is equal to the length of one of the segments of the hypotenuse
d. the length of the altitude is equal to the sum of the lengths of the segments of the hypotenuse
AAAaannndd the bot gets it wrong, and yet also right, yet again!
It has even stated two contradictory answers.
The altitude is 1/2 the hypotenuse.
b. the length of the altitude is equal to half the length of one of the segments of the hypotenuse.
This is a known property of right triangles called the Converse of the Pythagorean Theorem. It states that if the altitude to the hypotenuse of a right triangle bisects the hypotenuse, then the triangle is isosceles, and the altitude is equal to half the length of the hypotenuse.