Find the area of the following triangle

Find the area of the following shape

Find the area of the following shape

Find the area of the following triangle 

The lengths of the sides of a triangle are 6,7 and 9

(i) Find the size of the angle opposite the longest side. Give your answer to the nearest degree.

(ii) Find the area of the triangle correct to two significant figures.

In \(\Delta ABC\), the area is \(3\sqrt 3 \) \(\text{units}^2\), AB = 4, BC = 3 and \(\angle ABC = \theta \). Find \(\theta \) to the nearest degree.

The area of \(\Delta ABC\) = \(3\sqrt 2 \) \(\text{cm}^2\), given that AB = 4 cm and BC = 3 cm. Find the size of \(\angle ABC \).

Find the area of the \(\Delta {\rm{ABC}}\), given that \(\angle {\rm{ABC}}\)=\({\rm{59}}^\circ \), \(AB = 7\) and \(CB = 6\).

In \(\Delta ABC\), \(AB=3\,cm,\,BC=4\,cm\) and the area of \(\Delta ABC=2\sqrt{3}\,cm^2.\) Find the size of \(\angle ABC\). 

Find the exact length of \(AB\).