Question

What is the length of line segment JK?

A) √106
B) √13
C) √19
D) √67

Answer 1

Draw the two legs of the right triangle (Refer to image). According to the image, point R shows a right angle. This means that:

• Line JR = 5 units
• Line RK = 9 units

Now, let's use Pythagoras theorem to find JK.

• JK² = 5² + 9²
• => JK² = 25 + 81
• => JK² = 106
• => JK = √106 (Option A)

Option A is correct.

Answer 2

Use the given formula:

Sqrt((5–4)^2 + (-3-2)^2)

Sqrt(9^2 +-5^2)

Sqrt(81 + 25)

Sqrt(106)

Answer is A. Sqrt106