To find: The perimeter of the triangle, if t is the cube of an integer.
Answer to Problem 45E
C 60
Explanation of Solution
Given information: SAT/ACT Practice: Triangle QRS has sides of lengths 14, 19 and t , where t is the length of the longest side.
Calculation:
One thing we know about the triangle is that the sum of any 2 sides of a triangle must be longer than the 3rd side.
We also know that t is the longest side.
8 cannot be the 3rd side, it’s too short.
But 25 is not the cube of an integer.
27 is the cube of an integer (3).
Therefore C 60 is the answer.
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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