Question : Q is a point in the interior of a rectangle ABCD. If QA = 3 cm, QB = 4 cm and QC = 5 cm, then the length of QD (in cm) is:
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
According to the question, we draw a figure of a rectangle ABCD.
Given that: QA = 3 cm, QB = 4 cm and QC = 5 cm
QD
2
+ QB
2
= QA
2
+ QC
2
⇒ QD
2
+ 16 = 9 + 25
⇒ QD
2
= 34 – 16 = 18
Hence, the correct answer is