Find the distance between the points A(13,2) and B(7,10)

Answer:[tex]10 = D[/tex]Step-by-step explanation:Method #1We can draw a right triangle on the graph upon where the points are located and use the Pythagorean Theorem:[tex]{a}^{2} + {b}^{2} = {c}^{2}[/tex][tex]{6}^{2} + {8}^{2} = {c}^{2}[/tex][tex]36 + 64 = {c}^{2}[/tex][tex]100 = {c}^{2}[/tex][tex]10 = c[/tex]* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root._______________________________________________Method #2Or, we can use the Distance Formula:[tex]\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D[/tex]B[7, 10] A[13, 2][tex]\sqrt{[-2 + 10]^{2} + [-13 + 7]^{2}} = D[/tex][tex]\sqrt{8^{2} + [-6]^{2}} = D[/tex][tex]\sqrt{64 + 36} = D[/tex][tex]\sqrt{100} = D[/tex][tex]10 = D[/tex]* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.** You see? It does not matter which method you choose, as long as you are doing the work correctly.I am delighted to assist you anytime.