Construct a triangle \(ABC\) with \(BC = 5 \ cm\), \(AB = 6 \ cm\), \(CA = 5\). Construct an altitude from \(A\) to \(BC\).
 
Construction:
 
YCIND_260823_8443_three lines_math2_36.png
 
Step 1:
 
Step 2:
 
Step 3:
 
Step 4:
 
Step 5:
 
Step 6:
 
Step 7:
 
Step 8: \(AD\) is the altitude of the triangle \(ABC\).
Answer variants:
Draw the altitude to \(BC\) through \(A\) using the vertical edge of the set square.
Join \(AB\) and \(AC\)
With \(B\) as centre and \(6 \ cm\) as radius, draw an arc.
Slide the set square along the ruler till the vertical edge of the set square touches the vertex \(A\).
With \(C\) as centre and \(5 \ cm\) as radius, draw an arc which cuts the previous arc at \(A\).
Draw a base length \(BC = 5 \ cm\).
Keep the ruler aligned to the base. Place the set square on the ruler as shown, such that one of the edges of the right angle touches the ruler.