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

Answer:

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

By the Pythagorean theorem,

$K J^{2} =KM^{2} +MJ^{2} \\SubstituteKM=6, MJ=3, then\\KJ^{2} =6^{2} +3^{2} \\KJ^{2}=36+9=45\\KJ=\sqrt{45} =3\sqrt{5}$

Step-by-step explanation:

Hope this helps