Question

In∆ABC sag AP is a median. If BC=18‚ AB²+AC²=260 find AP

Answer 1

Answer:

AP is median & BP=PL=

2

1

BC=9units

Why appollonius theorem, we have

∣AB∣

2

+∣AC∣

2

=2(∣1AP∣

2

+∣BP∣

2

)

we know AB

2

+AC

2

=260

& 260=2(AP

2

+BP

2

)

AP

2

+q

2

=130

AP

2

=130−81

AP

2

=49

AP=7units