Question

Look at triangle ABC. What is the Length of the side AB of the triangle? A. 2 B. Squ. Root 20 C. 6 Squ. Root 38

Answer 1

√20 units

Option B is the right option

solution,

A(4,5)------->(X1,x2)

B(2,1)-------->(y1,y2)

Now,

`ab = \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) } \\ \: \: \: = \sqrt{ {(2 - 4)}^(2) + {(1 - 5)}^(2) } \\ \: \: = \sqrt{ {( - 2)}^(2) + {( - 4)}^(2) } \\ \: \: = √(4 + 16) \\ \: \: \ = √(20)`

hope this helps....

Good luck on your assignment..