Let ABC be a right triangle in which AB = 3 cm BC = 4 c
| Let ABC be a right triangle in which AB = 3 cm, BC = 4 cm and ∠ B = 90∘. BD is the perpendicular from B on AC. The circle through B, C, D is drawn. Construct the tangents from A to this circle. [4 MARKS]
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Right Answer is:
SOLUTION
Construction : 3 Marks
Steps of construction : 1 Mark
Steps of construction :
1. Construct Δ ABC and perpendicular BD from B on AC.
2. Construct a circle with BC as a diameter. This circle will pass through D.
3. Let O be the mid - point of BC. Join AO.
4. Draw a circle with AO as diameter. This circle cuts the circle drawn in step 2 at B and P.
5. Join AP. AP and AB are desired tangents drawn from A to the circle passing through B, C and D
