Answer:
[tex]BC=\sqrt{73}[/tex]
Step-by-step explanation:
Notice that A, B, and C constitute the vertices of a right angle triangle, with the right angle at the vertex A.
If we count the number of squares separating B and A (one of the legs of the right angle triangle) we find 8 units.
If we count the number of squares separating C from A (the other leg of the right angle triangle), we get: 3 units.
Then, we apply the Pythagorean theorem to find that length of the triangle's hypotenuse which is the segment BC:
[tex]BC=hyp=\sqrt{8^2+3^2} =\sqrt{64+9} =\sqrt{73}[/tex]
