Will give look at the triangle abc: coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. a triangle abc is shown with a at ordered pair (4, 5), b at ordered pair (2, 2), and c at ordered pair (4, 2). what is the length of the side ab of the triangle? 3 5 square root of 6 square root of 13

We can see by manually counting the squares, that
BC has a length of 2 and AC has a length of 3

using the pythagorean theorem, which is a²+b²=c², we can figure out the length of the missing side, AB.

a, is one side of the triangle
b, is another side
c, is always the hypotenuse, or the slanted side.

so if we fill this in with the appropriate numbers, we can solve for c

(2)² + (3)² = c²

4 + 9 = c²

13 = c²

square root both sides

√13 = √c²

√13 = c

√13 ≈ 3.6056 units