Answer :


Step of Construction:


Step 1: Draw BC = 8 cm.


Step 2: From B draw an angle of 90 �.


Step 3: Draw an arc BC = 6 cm cutting the angle at A.


Step 4: Join AC. ΔABC is the required .


Step 5: Draw bisector of BC cutting BC at M.


Step 6: Take M as centre and BM as radius, draw a circle.


Step 7: Take A as centre and AB as radius draw an arc cutting the circle at E. Join AE.


Step 8: AB and AE are the required tangents.


Justification:


Given: AOB = 90°


Since, OB is a radius of the circle.


AB is a tangent to the circle.


Also, AE is a tangent to the circle.


Ans. The required right-angled triangle and its tangents are drawn.


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