# Thread: Min/Max word Problem

1. ## Min/Max word Problem

I don't get how you set up the equation for this problem:

Points A and B are ends of a diameter of a circle and C is a point on the circumference. Which of the following statements about triangle ABC is/are true?

a)The area is largest when the triangle is isosceles.
b)The area is smallest when the triangle is isosceles.
c)The perimeter is largest when the triangle is isosceles.
d)The perimeter is smallest when the triangle is isosceles.

Thanks again for your time.

2. Originally Posted by Wyau
I don't get how you set up the equation for this problem:

Points A and B are ends of a diameter of a circle and C is a point on the circumference. Which of the following statements about triangle ABC is/are true?

a)The area is largest when the triangle is isosceles.
b)The area is smallest when the triangle is isosceles.
c)The perimeter is largest when the triangle is isosceles.
d)The perimeter is smallest when the triangle is isosceles.

Thanks again for your time.
angles in a semi-circle subtended by the diameter are right angles. so ABC is a right-triangle. i think Pythagoras' theorem is a good equation to start with as the constraint. you know the formulas for area and perimeter