What is the length of the altitude drawn to the hypotenuse? The figure is not drawn to scale.
A large right triangle is shown. A perpendicular segment is drawn from the right angle of the large right triangle to the opposite side. That segment divides the opposite side into two parts. The segment on the left is labeled 5. The segment on the right is labeled 14.
(1 point)
Responses
19
19
19−−√square root of 19
70
70
70−−√
To find the length of the altitude drawn to the hypotenuse, we can use the geometric mean theorem.
The geometric mean theorem states that in a right triangle, the length of the altitude drawn to the hypotenuse is the geometric mean of the two segments that the altitude divides the hypotenuse into.
In this case, the segments are labeled as 5 and 14. So, we need to find the square root of the product of 5 and 14:
√(5 * 14) = √70
Therefore, the length of the altitude drawn to the hypotenuse is √70 or option 70−−√.