Construct a right triangle ABC with AB = 6 cm BC = 8 cm
| Construct a right triangle ABC with AB = 6 cm, BC = 8 cm and ∠ B = 90∘. Draw BD, the perpendicular from B on AC. Draw the circle through B, C and D and construct the tangents from A to this circle. [4 MARKS]
Please scroll down to see the correct answer and solution guide.
Right Answer is:
SOLUTION
Construction : 3 Marks
Steps of construction : 1 Mark
Steps of construction :
1. Construct Δ ABC with given measurements.
2. From B, draw BD⊥AC.
3. Bisect BC at point O.
4. With O as centre and radius OB, draw a circle.This circle passes through B, C and D
5.The required circle is obtained.
6. Join AO and bisect it at M.
8. With M as the centre and radius equal to AM, draw a circle cutting the previous circle at the points T and B.
9. Join AT. AT and AB are the required tangents.
