Construct a right-angled triangle \(∆ABC\) with \(∠B = 90°\), \(AC = 5 \ cm\). How many different triangles exist with these measurements?
Construction:
Step - 1: Draw a line segment \(= 5 \ cm\)
Step - 2: Mark of the line segment \(AB\) as \(D\).
Step - 3: Draw a circle with as centre and as radius.
Step - 4: On any point on the , mark a point \(B\).
Step - 5: Join \(AB\) and \(AC\). Thus, \(\angle ABC\) .
Interpretation:
right-angled triangles \(∆ABC\) with measurements \(∠B = 90°\), \(AC = 5 \ cm\) exist.