Examine the diagram and information to answer the question. △ABC has vertices at A(0,4), B(2,2), and C(−2,−1).

Question

1+2√10+√29

5+2√10+√13

1+2√2+√13

5+2√2+√29

Answer 1

Hi Mel M.,

I plotted the triangle, and it looks like you are looking for the perimeter of the triangle, from the multiple choice given.

The distance from A to B = √[(2 - 0)² + (2 - 4)²] =√[4 + 4] = √[8] = 2√2.

The distance from B to C = √[(-2 - 2)² + (-1 - 2)²] =√[16 + 9] = √[25] = 5.

The distance from C to A = √[(0 - -2)² + (4 - -1)²] =√[4 + 25] = √29.

So 5 + 2√2 + √29 is the perimeter and the last of your listed multiple choices.

Let me know if this is what you were after, Joe.