2021 · Q61
The radius of circum-circle of a right-angled triangle is 10 cm and the altitude drawn to the hypotenuse is 8 cm. What is the area of the triangle ?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A60 cm²
- B80 cm²
- C100 cm²
- D120 cm²
Explanation
The hypotenuse of a right triangle is the diameter of its circumcircle, so it is 2 × 10 = 20 cm. Taking it as the base, the area is ½ × 20 × 8 = 80 cm². This is option (b).