Question

Vance wants to construct a circle tangent to all three sides of the acute, scalene triangle lmn using the following steps. He will draw altitudes from vertex l and vertex m, and mark their intersection point as o. He will draw the perpendicular from point o to side mn, and mark the intersection point as p. He will draw the circle centered at point o which will pass through point p. Which part of vance's plan requires revision?.

Answer 1

Vance's plan requires revision at the step where he draws the perpendicular from point o to side mn and marks the intersection point as p.

Step-by-step explanation:

Vance's plan requires revision at the step where he draws the perpendicular from point o to side mn and marks the intersection point as p. The reason for this is that the intersection point will not lie on side mn unless triangle lmn is a right triangle or an isosceles triangle. Since the triangle given in the question is an acute, scalene triangle, the perpendicular from point o will not intersect side mn. Therefore, Vance needs to revise this step in his plan.