Question

26. Let p.q.r be the altitudes of a triangle with area S and perimeter 2t. Then the value of
1 1 1
P 9​

Answer 1

Step-by-step explanation:

Given Let p.q.r be the altitudes of a triangle with area S and perimeter 2t. Then the value of  1/p + 1/q + 1/r is

• According to the question we have
• S = 1/2 a.p = 1/2 b.q = 1/2 c.r
• Therefore 1/p = a / 2S, 1/q = b/2S, 1/r = c/2S
• Therefore 1/p + 1/q + 1/r = 1/2S (a + b + c)
•                                               = 2t / 2S

                                               = t/S