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In-Touch Triangle and Length-Finding

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Explanations 1

Here I'm going to explain how to find the lengths to the tangency points to the incircle in a triangle ABCABCABC. Here's a diagram for reference: More specifically, we will find…
By Yang Liu, Victor Wang

Problems 2

Find the length of BDBDBD.
Let △ABC\triangle ABC△ABC be a triangle with AB=3AB = 3AB=3, BC=4BC = 4BC=4, and AC=5AC = 5AC=5. Let III be the center of the circle inscribed in △ABC\triangle ABC△ABC. What is …