The altitude of the triangle is increasing at a rate of 1 cm/min.

Area of the triangle is increasing at a rate of 2 cm²/min.

Let the altitude of the triangle is $\"\"$ and base be $\"\"$ .

Rate of change of altitude $\"\"$ cm/min.

The area of the triangle is $\"\"$ .

Rate of change of area of the triangle $\"\"$ cm²/min.

Differentiate on each side with respect to $\"\"$ .

$\"\"$

Find rate of change of base, when the altitude is 10 cm and area is 100 cm².

$\"\"$ .

Substitute $\"\"$ and $\"\"$ in above expression.

$\"\"$

Substitute $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$

The rate of change of base with respect to time $\"\"$ cm/min.