Example 16. ABC is a right triangle, right angled at C. If p is the length of the perpendicular from C to AB and a, b, c have the usual meaning, then prove that
- pc = ab
Solution:- (i) Area of taking BC as base = 1/2 X BC X AC
= 1/2ab--------(i)
Area of taking AB as base = 1/2 X AB X CD
= 1/2 cp------(ii)
from (i) and (ii) 1/2 ab = 1/2 cp
Or, pc = ab
Or, c = ab/p---------(iii)
(ii) In right ,
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