Question

What is the length of line segment KJ?

A. 2√3 units
B. 3√2 units
C. 3√5 units
D. 3√3 units

Answer 1

the answer is the option C

`KJ=3√(5)\ units`

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=√(45)=3√(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.