Determine if is possible to form a triangle using the set of segments with the given measurements.
Explain your reasoning
7 n. 87 in 154 in
I'll will mark you brainlist

Not Possible

Step-by-step explanation:

This uses what is known as the triangle inequality.  Basically if you add two sides the sum will be greater than the third, then if you subtract two sides  it will be less than the third, keeping in mind to subtract the smaller one from the larger one.

Your sides are 7, 87 and 154

Now, I could go through each and every combination, but right away I can see 87 + 7 is less than 154, so this is not a valid triangle.  

Similarly 154-7 is greater than 87 AND 154 - 87 is greater than 7, so btoh of these also mean it is not a valid triangle.  

If you it doesn't make sense how I got to this conclusion I can explain.  

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

ab will be equal to