Question

Find the area of this triangle. Round the sine value to the nearest hundredth. Round the area to the nearest tenth of a centimeter.

13.8 cm2

15.1 cm2

17.4 cm2

34.8 cm2

Answer 1

Area = 1/2 * 7.2*6.4*sin49= 17.4cm^2

Answer 2

Answer with Step-by-step explanation:

The area of a triangle when one angle a is given is given by:

`A=(1)/(2)* sina* (Product\ of\ sides\ adjacent\ to\ angle\ a)`

Here a=49 and sides adjacent to angle a are 7.2 and 6.4

`A=(1)/(2)* sin49\° * 7.2* 6.4\\\\A=(1)/(2)* 0.75* 7.2* 6.4\\\\A=17.4\ cm^2`

Hence, Area of given triangle is:

17.4 cm²