Ask Question
25 September, 04:50

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 2323 cm and a second side that is 44 cm less than twice the third side, what are the possible lengths for the second and third sides?

+5
Answers (1)
  1. 25 September, 05:14
    0
    Let's begin by identifying the lengths of the three sides of the triangle: length of side 1 = 17 length of side 2 = 2x - 1 (1 less than twice side 3) length of side 3 = x Now let's apply the Triangle Inequality Theorem to this triangle: side 1 + side 2 > side 3: 17 + 2x - 1 > x 16 + 2x > x 2x - x > - 16 x > - 16 (reject negative measurement) 2x - 1 > - 33 (reject negative measurement) side 1 + side 3 > side 2 17 + x > 2x - 1 x - 2x > - 1 - 17 - x > - 18 x <18 2x - 1 side 1 2x - 1 + x> 17 3x - 1 > 17 3x > 18 x > 6 2x - 1 > 11 Thus, we have our answers based on the value of x: 6 < x (length of side 3) < 18 11 < 2x - 1 (length of side 2) < 35
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 2323 cm and a ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers