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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:
Slide the set square along the ruler till the vertical edge of the set square touches the vertex \(A\).
Draw the altitude to \(BC\) through \(A\) using the vertical edge of the set square.
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.
Draw a base length \(BC = 5 \ cm\).
With \(C\) as centre and \(5 \ cm\) as radius, draw an arc which cuts the previous arc at \(A\).
With \(B\) as centre and \(6 \ cm\) as radius, draw an arc.
Join \(AB\) and \(AC\)