Question

A right triangle has hypotenuse of length c and two legs of lengths a and b, but these lengths are changing, in such a way that the triangle is still a right triangle as the side lengths change.

The length of the hypotenuse is increasing at a rate of 2cm/sec, and the length a is increasing at a rate of 4cm/sec.

Is the length b increasing or decreasing?

a) The length b is increasing.
b) The length b stays the same.
c) The length b is increasing if c is greater than 2a and b is decreasing if c is less than 2a.
d) The length b is decreasing.

Answer 1

Is it c ?

Answer 2

yes it is ... :)