2025 · Q65
Consider the following for the next two (02) items that follow: ABC is a triangle right-angled at A. Further AB = 8 cm and BC = 10 cm. D is the point on BC such that AD is perpendicular to BC. What is AD equal to?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A4·8 cm
- B5·0 cm
- C5·2 cm
- D5·4 cm
Explanation
Right-angled at A with AB = 8 and BC = 10 gives AC = sqrt(100 - 64) = 6 cm. The altitude to the hypotenuse equals (product of the legs)/(hypotenuse) = (8*6)/10 = 4.8 cm. Equivalently, area = 24 = (1/2)*10*AD. Hence AD = 4.8 cm, option (a).