Question

Use the distance formula to calculate the length of leg AB

Answer 1

Step 1: Problem

Use the distance formula to find the length of leg AB

Step 2: Concept

`\text{Distance of AB = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

Step 3: Method

Write the coordinates of points A and B.

A = ( -1 , 3 )

B = ( 2, 1 )

x1 = -1

y1 = 3

x2 = 2

y2 = 1

`\begin{gathered} \text{Distance AB = }\sqrt[]{(2-(-1))^2+(1-3)^2} \\ =\text{ }\sqrt[]{(2+1)^2+(-2)^2} \\ =\text{ }\sqrt[]{3^2+(-2)^2} \\ =\text{ }\sqrt[]{9\text{ + 4}} \\ =\text{ }\sqrt[]{13} \\ =\text{ 3.6} \end{gathered}`

Step 4: Final answer

Length of leg AB = 3.6