Two chords measuring 18.64cm and 14.32cm intersect at a point on a circle at an angle of 114°26’. A third chord connects the noncommon endpoints of the chords to form a triangle. Find all the measurements of the triangle.

third chord length is 27.8088 cm

Between III and I chord is

Between III and II chord is

Step-by-step explanation:

The calculation of measurements of the triangle is shown below:-

By Cosine rule

BC = 27.8088 (it is the length of third chord)

By Sin rule

After solving this we will get

Sin B = 0.468829

Therefore

Now,

third chord length is 27.8088 cm

Between III and I chord is

Between III and II chord is

The same is to be considered