Find the area of a triangle to the nearest tenth.

Question

clamin · Answer

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myininaya · Answer

find side PK
and then use heron's formula

clamin · Answer

how do i find it?? can you teach me step by step

myininaya · Answer

well you have a side and another side and an angle the is not included between the sides given
that means you have SSA
which means you can use law of sines
but this will only allow you to find angle P at first

you have additional work to actually find the length PK

You can find the angle opposite to PK after you find P though
using law of sines one more time will allow you to find the length PK

myininaya · Answer

then you will be able to use heron's formula

myininaya · Answer

SSA though is known as the ambiguous case 
because it can sometimes lead to two triangle solutions

clamin · Answer

firs off how do i complete all the numbers inside the triangle?

myininaya · Answer

law of sines

myininaya · Answer

$$\frac{\sin(A)}{a}=\frac{\sin(B)}{b}=\frac{\sin(K)}{c}$$
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