Question

In circle O, m arc BC = 90 and the area of triangle ABC is 18. What is the length of AC?

Answer 1

triangle ABC is a 45-45-90 triangle. since the area is 18, BC = 6. so AC=6sqrt2 by similarity to the 45-45-90 triangle.

Answer 2

how'd you get that BC = 6?

Answer 3

you agree that ABC is a 45-45-90 triangle?

Answer 4

yup.

Answer 5

then this is a square with area 36...