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Numerical Inequalities · Question 71 of 79

Question 71

MediumOriginal question

Two sides of a triangle are 5 cm and 9 cm. Which must the third side xx, in cm, satisfy?

Options for question 71

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Each side is less than the sum of the other two: x<5+9=14x < 5 + 9 = 14, and 9<5+x9 < 5 + x, so x>4x > 4.

  2. So 4<x<144 < x < 14.

Worth noting

x=4x = 4 or 14 would make the three sides lie flat in a line, not a triangle.

Concept
The triangle inequality
Typical time
90 s
Your time
—
The rule this testsInequalities from situations
Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.

Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.