Question

Altitude on the hypotenuse of a right
angled triangle divides it in two parts of
lengths 16 cm and 9 cm. Find the length
of the altitude.​

Answer 1

Step-by-step explanation:

We know that,

In a right angled triangle, the

perpendicular segment to the

hypotenuse from the opposite vertex, is

the geometric mean of the segments into which the hypotenuse is divided.

. AD² = CD x DB

= 4×9

= 36

⇒ AD= 6cm

Hence, the correct option is 6 cm.