200k views
0 votes
The lengths of 2 sides of a triangle game are 55 and 20 what are the possible lengths of the 3rd side

The lengths of 2 sides of a triangle game are 55 and 20 what are the possible lengths-example-1

1 Answer

4 votes

Answer:

45, 60, 72

Explanation:

use the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side

20 + x > 55 This tells us that the minimum value of the third side

x > 35 must be 36

20 + 55 > x This tells us that the maximum value of the third side

75 > x must be 74 or less

The third side must be greater than or equal to 36 and less than or equal to 74

User Yuri Levinsky
by
7.2k points