in triangle ABC,1/r1+1/r2+1/r3
Answers
Answer:
TENSES:Fill in the blanks in the following paragraphs with the most appropriate form
of verbs:
A. My mother (a)............. (do) a lot of work. She (b)
(cook) food and (c)
(clean) the house. Whenever, I (d)
(fallen) ill, she looks after me
well. She (e).... (be) a religious person. She (1) ...... (narrate) many
interesting stories from the Ramayana and the Mahabharata to us at bed time.
B. Vivek has gone to the bank. He (a)
(want) to take out some money. First he
(b).......... (have) to fill in a form for a new check book, as all the cheque in the old
book (c) ..............(has) already been used. He (d) .......... (make) out a cheque for the
amount he (e) ......... (inform) him about the ATM and E-Banking which (g)
(be) introduced shortly. The manager as well as counter clerks (h)
(try) to persuade him to go in for an ATM card.
....
To Prove : 1/r1+1/r2+1/r3=1/r
LHS => 1/(Δ/s-a) + 1/(Δ/s-b) + 1/(Δ/s-c)
= s-a/Δ + s-b/Δ + s-c/Δ
= (s-a+s-b+s-c)/Δ
= {3s+ - (a+b+c)}/Δ
= [3s - 2s]/Δ
= s/Δ { r = Δ/s }
So s/Δ = 1/(Δ/s) = 1/r
LHS = RHS
Proved
follow me please....