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?

A.
Vance should have found the intersection of two perpendicular bisectors of triangle LMN instead of two altitudes.
B.
Vance should have found the intersection of two angle bisectors of triangle LMN instead of two altitudes.
C.
Vance should have used the compass to draw a circle through point N instead of point P.
D.
Vance should have constructed all three altitudes instead of only constructing two altitudes.

In the construction of the tangent to the triangle, the part that needs revision is D. Vance should have constructed all three altitudes instead of only constructing two altitudes.

It should be noted that a triangle simply means a polygon that's 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 has only two altitudes were considered. Therefore, this should be the change that is required.

Learn more about triangles on:

exa:

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3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.