**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**

\