In the given figure, work out the
area of the triangle to two decimal places.
In this figure, we were given two
side lengths and an included angle. Since we have this information, we
can use the formula 𝐴 equals one-half times 𝑎𝑏 times sin of 𝐶 to find the area,
where 𝑎 and 𝑏 are side lengths and 𝐶 is an included angle. The area of this triangle is found
by one-half times 10 times seven times sin of 136 degrees. If you plug this into your
calculator, you get 24.3130429 continuing. If your calculator did not give you
this answer, you should check and make sure that your calculator is set to degree
mode and not to radians.
To get our final answer, though, we
want it rounded to two decimal places. There’s a one in the second decimal
place. To the right of that, in the third
decimal place, the thousandths place, is a three. This means we should round down to
24.31. We weren’t given any units, so we
can just say that the area of this triangle is 24.31 units squared.