In the right-angled triangle (ABC), the height divides CD and the hypotenuse AB in the ratio 3: 2. Calculate the relationship(Ratio) between height and hypotenuse exactly, as simple as possible
We have that
AD/DC = DC/DB
3/DC = DC/2 simplify
6 = DC^2 take the square root of both sides
√6 = DC
Ratio between height and hypotenuse =
√6 / 5
Here's a pic :