In △XYZ, if XY = 5 cm, XZ = 7 cm and Q is a point on YZ such that XQ bisects ∠X, then YQ : QZ is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 5 : 7.
Given that
In △XYZ, if XY = 5 cm, XZ = 7 cm
Q is a point on YZ such that XQ bisects ∠X
Angle Bisector Theorem: The bisector of any angle inside a triangle divides the opposite side into two parts proportional to the other two sides of the triangle containing the angle
According to the question
⇒ YQ/QZ = XY/YZ = 5/7
Hence, YQ : QZ = 5 : 7