2022 · Q87
A right-angled triangle ABC is inscribed in a circle of radius 10 cm. The altitude drawn to the hypotenuse AC is of length 8 cm. If AB = x cm and BC = y cm, then what is the value of xy?
Elementary MathematicsCircles
- A60
- B80
- C120
- D160
Explanation
The hypotenuse is a diameter: AC = 20 cm. Area = ½×20×8 = 80 = ½xy, so xy = 160. The keyed option is D.