Find the perimeter of the triangle whose vertices are (−1,−6), (14,2), and (8,−6)). Write the exact answer. Do not round.

Find the perimeter of the triangle whose vertices are A(−1,−6), C(14,2), and B(8,−6)). Write the exact answer.

Hello Guest!

\(c=x_B-x_A=8-(-1)=9\)

\(a=\sqrt{(x_C-x_B)^2+(y_C-y_B)^2}=\sqrt{(14-8)^2+(2-(-6))^2}=10\)

\(b=\sqrt{(y_C-y_A)^2+(x_C-x_A)^2}=\sqrt{(2-(-6))^2+(14-(-1))^2}=17\)

\(P_△=a+b+c=10+17+9\)

\(P_△=36\)

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