What is the length of line segment JK?
A) √106
B) √13
C) √19
D) √67
2 answers:
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
Solution:
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
<u>Now, let's use Pythagoras theorem to find JK.</u>
- JK² = 5² + 9²
- => JK² = 25 + 81
- => JK² = 106
- => JK = √106 (Option A)
Option A is correct.
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