Answer:
Step-by-step explanation:
What it means to "solve for a triangle" is to basically find ALL the missing parts, which in this case, are the lengths.
You are given the angles of the triangle, which we can use to help find the lengths.
By using sin, cos, and tan we can find the missing lengths
** quick side note, an easy way to remember how to use sin, cos, tan is SOH CAH TOA. In other words "for sine, multiply the opposite and hypotenuse, for cosine, multiply adjacent and hyp., and for tan, multiply opposite and adj.
start w/ solving for an angle (it doesn't matter which one but ill do A)
Bc you aren't given any side lengths, you have it a little easier by having to only use one method of SOH CAH TOA to solve. The method is sine
Using your calculator, type in sin(degree) or sin(51), and you should get
= 0.777145 OR 0.8
** make sure your calculator is is DEGREES not RADIANS
Now do this for the rest of the angles:
sin(7)= 0.1
sin(10)= 0.2
You have all the lengths (0.8, 0.1, 0.2) add them together to find the perimeter and if you want to find the area use Bh/2. But to find the area you must have a height, which you don't have
To find the height use formula: sqrt/( S(S-A)(S-B)(S-C)
A, B, C are the sides you've found using sine, and S is 1/2( A+B+C) or fast math is 0.55.
Plug in the values and solve :)
