Given:  In


Find: 

To find:
DC and DB.
Given:
In
Theorem used:
Angle bisector theorem:
If a ray bisects one angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the two sides that form the bisected angle.
Calculation:
Given:
Then by anglebisector theorem, the ray
Since ABC is a right triangle, by Pythagoras theorem we get
We have
We have
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