55.1k views
1 vote
Two fixed sides of a triangle are 23.8 m and 25 m in length and the angle between them is increasing at a rate of 0 os tads. Find the rate at which the area of: the triangle is increasing when the angle between the sides of foxed length is π/3

1 Answer

4 votes

Final answer:

To find the rate at which the area of the triangle is increasing, we can use the formula: Area = (1/2) * a * b * sin(C). When the angle is π/3, we can plug this value into the formula to find the rate at which the area is increasing.

Step-by-step explanation:

To find the rate at which the area of the triangle is increasing, we can use the formula: Area = (1/2) * a * b * sin(C), where a and b are the lengths of the two fixed sides and C is the angle between them.

Given that the angle is increasing at a rate of 0, we can substitute the values into the formula: Area = (1/2) * 23.8 * 25 * sin(C)

When the angle is π/3, we can plug this value into the formula to find the rate at which the area is increasing.

User Rick Davies
by
7.6k points