Question

If the endpoints of KB are K(-4,5) and B(2,-5) , what is the length of KB?

Answer 1

Step 1

Draw the line joining the endpoints K and B.

Step 2

Length KB is the distance between K and B.

Step 3

x1 = -4

y2 = 5

x2 = 2

y2 = -5

Step 3

Write the formula for distance between two points and substitute the values.

`\begin{gathered} KB\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ KB\text{ = }\sqrt[]{(-5-5)^2+(2-(-4))^2} \\ KB\text{ = }\sqrt[]{(-10)^2+(2+4)^2} \\ KB\text{ = }\sqrt[]{(-10)^2+6^2} \\ KB\text{ = }\sqrt[]{100\text{ + 36}} \\ KB\text{ = }\sqrt[]{136} \\ KB\text{ = 11.66} \end{gathered}`