2020 · Q70
What is the area of a right-angled triangle, if the radius of the circumcircle is 5 cm and altitude drawn to the hypotenuse is 4 cm?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A20 cm²
- B18 cm²
- C16 cm²
- D10 cm²
Explanation
The hypotenuse is the diameter: 2*5 = 10 cm. Area = (1/2)*10*4 = 20 cm^2 - option (A). This is Thales' theorem: the hypotenuse of a right triangle is the diameter of its circumcircle.