The part that needs revision in the construction of the tangent to the triangle is C. Vance should have constructed all three altitudes instead of only constructing two altitudes.
A triangle simply means a polygon that has three sides. Also, a triangle has there's edges as well as vertices.
In this case, in order to construct a circle tangent to all three sides of the acute, scalene triangle LMN, it should be noted that the three altitudes have to be taken into consideration.
This wasn't the case in the step given by Vance as only two altitudes were considered. Therefore, this should be the change that is required.
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