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Triangle and Sum of Its Internal Angles

From the figu...

Question

From the figure, XYZ is a right angle triangle. YW⏊XZ. Show that W is the midpoint of XZ.

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Solution

Given,
$△$ XYZ is a right angle triangle. YW⏊XZ.
In ΔXWY and ΔZWY
XY = YZ
$∠ X W Y = ∠ Z W Y = 90^{\circ}$
WY = WY ...... (common)
$△ X W Y ≅ △ Z W Y$ by RHS Test.
XW = ZW .... (CPCT)
Hence proved, W is the midpoint of XZ.

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