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.
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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