Question

The lengths of two sides of a triangle are given.

Find the range of possible lengths for the third side. 17 cm and 12 cm

Answer 1

Range = 5 - 29

Explanation:

a + b > c

a+c > b

c+b > a

so

17+ 12 > c ,,,,,,,,,,,,,,,,,,,,,,,,,,,, so it should be lesser than 17+12 which is 29

17 +c > 12 ,,,,,,,,,,,,,,,,,,,,,,,,, and it should be greater than 17- 12 = 5

c+12 > 17 ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, same here, it should be greater than 17- 12 = 5

So the range is ,

17 + 12

to

17-12

whcih is - (5 to 29)

I hope I am right!!!