A right triangle has hypotenuse

MATHEMATICS · Single correct · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

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}

(b)

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

(c)

15\,\text{cm}

(d)

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