Question

In triangle ABC angle B=37 degree ,angle C=64degree and ,AC=12cm.a)find the circumradius of triangle ABC ,b)find the length of AB​

Answer 1

The correct option is D

13 cm

Given AB = AC, OD

⊥

BC, BC = 24 cm and OD = 5 cm

We know that that perpendicular from the centre bisects the chord. Also given BC = 24 cm.

So, BD = 12 cm

Join AB.

Now,

(

O

B

)

2

=

(

B

D

)

2

+

(

O

D

)

2

=

12

2

+

5

2

=

144

+

25

=

169

∴

O

B

=

circumradius

=

13

cm