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.
Answer: C
Have a good day :D
3.73 rounded to the nearest whole number would be 4
Answer:
7x -1 is correct after combining like terms
Step-by-step explanation:
6+8x-7-x
To simplify algebraic expression we combine like terms
In the given expression
-x or -1x are same
8x and -1x are like terms
6 and -7 are also like terms
8x-1x= 7x
6 - 7 = -1
So 7x -1 is correct after combining like terms
The best thing is to have a ruler with the appropriate units to construct these triangles;)