2017 · Q62
In a triangle ABC, AD is perpendicular on BC. If ∠BAC = 90°, AB = c, BC = a, CA = b and AD = p, then which one of the following is correct ?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- Ap = abc
- Bp²=bc
- Cp=bc/a
- Dp=ab/c
Explanation
The right triangle's area is both bc/2 and ap/2 (hypotenuse × altitude), so ap = bc and p = bc/a. Hence option (C) p = bc/a.