The length of the altitude drawn to the hypotenuse of a right triangle is equal to the geometric mean of the two segments it divides the hypotenuse into.
For Triangle 1:
Let x be one of the segments the altitude divides the hypotenuse into.
4 * x = (x)^(2)
x = 4
Therefore, the other segment is also 4, making the whole hypotenuse 8.
For Triangle 2:
Let y be one of the segments the altitude divides the hypotenuse into.
14 * y = (y)^(2)
y = 14
Therefore, the other segment is also 14, making the whole hypotenuse 28.
So, the length of the altitude drawn to the hypotenuse of Triangle 1 is 4 and the length of the altitude drawn to the hypotenuse of Triangle 2 is 14.
Therefore, the answer is 14.
9. Find the length of the altitude drawn to the hypotenuse.
Triangle 1 is a right triangle with an altitude of 4
Triangle 2 is a right triangle with an altitude of 14
Answer Choices: Choose 1
28
7.5
14
9
1 answer
1 answer