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:

$A=\dfrac{1}{2}\times sina\times (Product\ of\ sides\ adjacent\ to\ angle\ a)$

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

$A=\dfrac{1}{2}\times sin49\° \times 7.2\times 6.4\\\\A=\dfrac{1}{2}\times 0.75\times 7.2\times 6.4\\\\A=17.4\ cm^2$

Hence, Area of given triangle is:

17.4 cm²