53.3k views
0 votes
If the endpoints of KB are K(-4,5) and B(2,-5) , what is the length of KB?

If the endpoints of KB are K(-4,5) and B(2,-5) , what is the length of KB?-example-1
User Mike Marks
by
8.2k points

1 Answer

1 vote

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}

If the endpoints of KB are K(-4,5) and B(2,-5) , what is the length of KB?-example-1
User Duwayne
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories