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Determine the rate of which the base of the triangle is changing?
The height of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is increasing at a rate of 3 cm^2/min.
At what rate is the base of the triangle changing when the height is 10 cm and the area is 95 cm^2?
Please show work and the answer.
1 Answer
- Ossi GLv 71 decade agoFavorite Answer
Hello
The area of a triangle is A = 1/2*base*height = 1/2*b*h --> b = 2A/h
At time = 0 the base b = 2*95/10 = 19 cm
At time = 1 minute A = 95+3 = 98 cm^2, h = 12 cm, and b = 2*98/12 = 16,33 cm
==> the base is shortening by 2,67 cm/min
Regards