Question

Radius OB AC
If AG=24 c, wha is AC?

Answer 1

Let < A , < B and <C are internal angles of triangle ABC.

In given problem, we have given

AB = 10 , <A = 26∘ ,<B= 74∘

We know that sum of internal angles =180∘

< A + < B + <C = 180∘

<C = 180 - <A - <B

<C = 180 - 26∘ - 74∘

<C = 80 ∘

When for a triangle, we have given two internal angles and one side then for finding other sides we may apply Sine Law i.e;

AC/sin(74∘)=AB/sin(80∘)

AC= sin(74∘) (10/sin(80∘))

AC = 0.9851 (10/0.9939)

AC = 0.9851(10.06137)

AC = 9.9120

Hence it proved AC < 10