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Construct a triangle \(ABC\) whose measurements are \(AB = 7 \ cm\), \(\angle A = 45^{\circ}\) and \(AC = 5 \ cm\).
 
Construction:
 
Step 1: Draw a base line segment \(AB = 7 \ cm\).
 
 
Step 2:
 
 
Step 3:
 
 
Step 4:
 
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Thus, \(ABC\) is the required triangle.
Answer variants:
Using a protractor, construct \(\angle XAB = 45^{\circ}\) by drawing the other arm of the triangle.
108.png
Join \(BC\).
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109.png
With \(A\) as centre and \(5 \ cm\) as radius, draw an arc which cuts the arm at \(C\).