This is a Test of Mathematics Solution Subjective 107 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta
If a, b and c are the lengths of the sides of a triangle ABC and if and
are the lengths of the perpendiculars drawn from the circumcentre onto the sides BC, CA and AB respectively, then show that
.
:
Let O be the circum centre
= 2
Similarly,
&
Now, =
= =
Lemma
For &
(lemma proved)
So,
= [ as
]
=
=
( proved )
This is a Test of Mathematics Solution Subjective 107 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta
If a, b and c are the lengths of the sides of a triangle ABC and if and
are the lengths of the perpendiculars drawn from the circumcentre onto the sides BC, CA and AB respectively, then show that
.
:
Let O be the circum centre
= 2
Similarly,
&
Now, =
= =
Lemma
For &
(lemma proved)
So,
= [ as
]
=
=
( proved )