CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.5 Question 8
8. O is a point in the interior of a triangle ABC, OD
BC, OE
AC, OF
AB. Show that
(i)
(ii)
Solution (i)
In
{Using pythagoras theorem} (1)
In
{Using pythagoras theorem} (2)
In
{Using pythagoras theorem} (3)
Adding (1), (2) and (3), we get
Hence Proved
Solution (ii)
We have already proved that
{Solution (i)}
L.H.S =
(4)
But we have
,
and
{By, pythagoras theorem} (5)
Putting (5) in (4), we get
L.H.S =
Hence Proved
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