Maths-
General
Easy
Question
Given XYZ is a triangle in which XW is the bisector of the angle x and XW ⊥ yz. Prove that xy= xz.
Hint:
Find the congruence rule used and thus find whether sides are equal.
The correct answer is: XY = XZ
In ΔXYW and ΔXZW
(since XW is the bisector of angle X)
(XW ⊥ YZ)
XW = XW (common side)
Hence by ASA congruence rule, we have ΔXYW ⩭ ΔXZW
So, XY = XZ (Corresponding part of congruence triangles)
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Maths-General
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