Two sides of a triangle measure 8 cm and 15 cm. which could be the length of the third side? 6 cm 18 cm 24 cm 28 cm

The correct answer is:  [B]:  "18 cm ". 

Explanation:

If a, b, c are the three (3) sides of triangle,  then: 

a − b < c > a + b ;  (a ≥ b)

Let "c" = the "third side" ; 

Let "b" = the "first side" ;  {since:  "(a ≥ b)" ;  → "(15 cm ≥ 8 cm)" } ;

Let "a" = the second side" ; {again; since:  "(a ≥ b)" ;  → "(15 cm ≥ 8 cm)" } ;

→ a − b < c > a + b ;  (a ≥ b) .

So;       "side a" = 15 cm ; 

             "side b" =  8 cm ;

             "side c" = the "third side" ; 

→ 15 cm − 8 cm < c > 15 cm + 8 cm ; 

→  7 cm < c > 23 cm ; 

Consider the answer choices: 

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !