Question

What is the length of line segment KJ?

Answer 1

Answer:

the answer is the option C

$KJ=3\sqrt{5}\ units$

Step-by-step explanation:

we know that

The triangle KMJ is a righ triangle

so

Applying the Pythagoras Theorem

$KJ^{2}=KM^{2}+MJ^{2}$

in this problem we have

$KM=6\ units$

$MJ=3\ units$

substitute

$KJ^{2}=6^{2}+3^{2}$

$KJ^{2}=45$

$KJ=\sqrt{45}=3\sqrt{5}\ units$

Answer 2

∠KMJ = 180° - 90° (adjacent angles on a straight line)
= 90°

Using Pythagora's Theorem,
KJ² = 6² + 3²
KJ² = 45
KJ = √45
= √9√5
= 3√5

The answer is C. The length of line segment KJ is 3√5 units.