Question

What is the length of line segment KJ?


`2 \sqrt[]{3 }`

`3\sqrt[]{2}`

`3 \sqrt[]{3}`

`3 \sqrt[]{5}`
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Answer 1

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

By the Pythagorean theorem,

`K J^(2) =KM^(2) +MJ^(2) \\SubstituteKM=6, MJ=3, then\\KJ^(2) =6^(2) +3^(2) \\KJ^(2)=36+9=45\\KJ=√(45) =3√(5)`

Explanation:

Hope this helps