Mathematics

Problem

A right triangle has hypotenuse

30\,\text{cm}

. The altitude from the right angle divides the hypotenuse into two segments whose lengths differ by

6\,\text{cm}

. What is the length of the altitude? a)

12\,\text{cm}

6\sqrt{6}\,\text{cm}

15\,\text{cm}

9\sqrt{3}\,\text{cm}