The altitude of a triangle is increasing at a rate of 1.5 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 2.5 2.5 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 8.5 8.5 centimeters and the area is 93 93 square centimeters?

The base is decreasing at a rate 3.27 centimeters per minute.

Step-by-step explanation:

We are given the following in the question:

Instant altitude = 8.5 cm

Area = 93 square centimeters

Area of triangle:

Putting values, we get,

where b is the base and h is the altitude of the triangle.

Rate of change of area =

Putting values, we get,

Thus, the base is decreasing at a rate 3.27 centimeters per minute.

step-by-step explanation:

this is not possible to solve with the info given.   you need at least an one angle somewhere.

h is the x-coordinate of the vertex

step-by-step explanation:

we have

in this function

the point represent the vertex of the function

so

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex