2023 · Q93
Consider the following for the next three (03) items that follow: In triangle ABC, AB = 6 cm, BC = 8 cm and AC = 10 cm. The perpendicular dropped from B meets the side AC at D. A circle of radius BD (with centre B) cuts AB and BC at P and Q respectively. What is the radius of the circle?
Elementary MathematicsCircles
- A5 cm
- B4.8 cm
- C4.4 cm
- D4 cm
Explanation
The circle is centred at B with radius BD, the perpendicular from B to AC. For the 6-8-10 right triangle, BD = (6 × 8)/10 = 4.8 cm (B).