Problema Solution
the sum of the lengths of any two sides of a triangle must be greater than the third side. if a triangle has one side that is 14 cm and a second side is 1 cm less than twice the third side. What are the possible lengths for the second and third sides?
Answer provided by our tutors
let
a = 14 cm the first side
b = the second side
c = the third side
a triangle has one side that is 14 cm and a second side is 1 cm less than twice the third side
b = 2c - 1
the sum of the lengths of any two sides of a triangle must be greater than the third side:
a + c > b
14 + c > 2c - 1
by solving we find:
c < 15
click here to see the step by step solution of the inequality:
b + c > a
2c - 1 + c > 14
by solving we find:
c > 5
click here to see the step by step solution of the inequality:
the possible lengths for c are in the interval (5, 15).