Question

1. if triangle a and b are congruent, what is the length of the missing side bc? b = (6,7) a = (-5,8) c = (-4,4) c = (10,-4) b = (8,-7) a = (9,-8) a. 3.61 b. 3.00 c. 4.12

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify coordinates for $B'$ and $C'$

$B'=(8, - 7)$ and $C'=(10,-4)$. Here $x_1 = 8,y_1=-7,x_2 = 10,y_2=-4$.

Step3: Substitute into distance formula

$d=\sqrt{(10 - 8)^2+(-4-(-7))^2}=\sqrt{(2)^2+(3)^2}=\sqrt{4 + 9}=\sqrt{13}\approx3.61$.

Answer:

a. 3.61