Question

Find the area of a triangle with sides of length 7 and 9 and included angle 72 degree.

Answer 1

A = 29.96

Explanation:

Area of a triangle

Side Angle Side (SAS) Method :

Given a triangle with two known sides a and b, and their included angle C, the area can be calculated as follows:

`\displaystyle A=(a.b.\sin(C))/(2)`

The triangle has sides of lengths a=7 and b=9 and their included angle is C=72°. Substituting:

`\displaystyle A=(7\cdot 9.\sin(72^\circ))/(2)`

A = 29.96