Question

In the figure shown, dotted lines represent corresponding heights of the triangles to the bases they are kept on. Choose the correct option.

• A. All of them are correct
• B. Only figure 2 is correct because height of a triangle can’t lie outside
• C. Only figures 2 and 3 are correct because height of a triangle always lies inside
• D. Only figure 3 is incorrect because the height is not corresponding to the base it is kept on

Answer 1

The correct option is D

Only figure 3 is incorrect because the height is not corresponding to the base it is kept on

Height corresponding to a given base in case of triangles means perpendicular dropped from the opposite vertex. It may or may not lie inside the triangle always. So, only figures 1 and 2 are correct. Figure 3 is incorrect because the height shown is corresponding to AC, not AB. The correct corresponding heights are shown in the figure below.