Theorem of cosine:
a²=b²+c²-2bc(cos α) ⇒cos α=-(a²-b²-c²) / 2bc
In this case:
a=15 cm
b=10 cm
c=5 cm
cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1
A=arc cos -1=180º This is impossible, because:
A+B+C=180º; then B=C=0º This is impossible for make a triangle (B>0 and C>0 if we want to make a triangle).
Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.
Hey there!
To find the greatest common factor you will need to find all the factors of 36 and 54. (A factor is a number that can be divided into another number).
54 - 1, 2, 3, 6, 9, 18, 27.
36 - 1, 2, 3, 4, 6, 9, 12, 18.
As you can see here, the factor that is the greatest is 18. Therefore, that is your answer.
Hope this helps! :)
Answer:
1/3
Step-by-step explanation:
The points are (-3,3) and (2,2) then you use distance formula to find the distance between them