Respuesta :
Answer:
least number is 7 and greatest number is 23
Step-by-step explanation:
A triangle has two sides measuring 8.5 cm and 15 cm
a=8.5, b= 15cm
To form a triangle , the sides should satisfy the following conditions
a+b>c and a+c>b
[tex]a+b>c[/tex]
Plug in the values
[tex]8.5+15>c[/tex]
[tex]23.5>c[/tex]
[tex]c<23.5[/tex]
[tex]a+c>b[/tex]
Plug in the values
[tex]8.5+c>15[/tex]
subtract 8.5 from both sides
[tex]c>6.5[/tex]
So c lies between 6.5 and 23.5
least number is 7 and greatest number is 23
The least and greatest whole number possibilities for the third side will be 7 and 23 respectively.
Based on the information given, the values of a and b are 8.5cm and 15cm respectively.
Therefore, the value of the third side will be gotten as follows:
- a + b > c
- 8.5 + 15 > c
- c < 23.5
Also, a + c > b
- 8.5 + c > 15
- c > 15 - 8.5
- c > 6.5
Therefore, the value of c will lie between 7 and 23.
In conclusion, the least and greatest whole number possibilities for the third side will be 7 and 23 respectively.
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