Question

A triangle has two sides measuring 8.5 cm and 15 cm. What are the least and greatest whole number possibilities for the third side

Answer 1

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

$a+b>c$

Plug in the values

$8.5+15>c$

$23.5>c$

$c$

$a+c>b$

Plug in the values

$8.5+c>15$

subtract 8.5 from both sides

$c>6.5$

So c lies between 6.5  and 23.5

least number is 7 and greatest number is 23