What is the length of line segment KJ? 2 √(3) units 3 √(2) units 3 √(3) units 3 √(5) units

Question

What is the length of line segment KJ?


`2 √(3)` units

`3 √(2)` units

`3 √(3)` units

`3 √(5)` units

Answer 1

the answer to your question is D

Answer 2

Triangle KMJ is right triangle with legs KM and MJ and hypotenuse KJ.

By the Pythagorean theorem,

`KJ^2=KM^2+MJ^2.`

Substitute

KM=6, MJ=3, then

`KJ^2=6^2+3^2,\\ \\KJ^2=36+9=45,\\ \\KJ=√(45)=3√(5).`

Answer: correct choice is D