Question

Can one cut out a triangle of one side 7 cm and its opposite angle 40° from a circular sheet of diameter 10 cm. Justify your answer.

Answer 1

The diameter of the circumcircle of a triangle with one angle 40° and it’s opposite

side 7 cm = \(\frac{7}{sin\,40}\)

\(\frac{7}{0.64}=10.93\) cm

Diameter of the paper is 10 cm, which is less than 10.93 cm.

Hence triangle cannot be cutout.