Question

Find the range for the measure of the third side of a triangle given the measures of two sides. ORDER MATTERS - Least to greatest. Do not write the units. 5ft, 9ft

Answer 1

Answer:

5ft < n < 14ft

Step-by-step explanation:

measurement of side 1 = 5ft

measurement of side 2 = 9ft

let the unknown side = n

according to the Triangle Inequality Theorem the largest side is < the sum of the two sides of a triangle.

Hence if n is the largest side it will be < 5 + 9 = 14 ft.  i.e. n < 14ft

but  if 9ft is the largest side then 9 < 5ft + n                 i.e. n > 5 ft