We are asked to draw and label a triangle ABC which satisfies these two conditions
a. Triangle ABC is scalene
b. BC I AC
Recall that a triangle is said to be scalene if all three sides have different lengths or the three angles are different.
Let us draw the triangle
As you can see in the above figure, side BC is perpendicular to the side AC.
The angle between side BC and AC is 90° that means they are perpendicular.
The other two angles can be 30° and 60°
All the sides have different lengths so the condition of the scalene triangle is also satisfied.