Question : If in $\triangle$ XYZ, XY = 4 cm and XZ = 5 cm and Q is a point on YZ such that XQ bisects $\angle X$, then YQ : QZ is:
Option 1: 2 : 3
Option 2: 3 : 2
Option 3: 5 : 4
Option 4: 4 : 5
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Answer (1)
12th Jan, 2024
Correct Answer: 4 : 5
Solution :
In $\triangle$ XYZ, XY= 4 cm and XZ = 5 cm
Since XQ bisects $\angle X$,
⇒ XY : XZ = YQ : QZ
$\therefore$ YQ : QZ = 4 : 5
Hence, the correct answer is 4 : 5.
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