2018 · Q97
In the figure given below, ABC is a triangle with AB perpendicular to BC. Further BD is perpendicular to AC. If AD = 9 cm and DC = 4 cm, then what is the length of BD ?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A13/36 cm
- B36/13 cm
- C13/2 cm
- D6 cm
Explanation
In a right triangle, the altitude to the hypotenuse is the geometric mean of the segments it creates: BD^2 = AD x DC = 9 x 4 = 36. So BD = 6 cm. The stored key (A) is wrong. Hence option D.